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Finding the Fourth Proportional to 12,796,022.82, 17,658,512.82 and 6,994,828.20

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Solution

The fourth proportional to 12,796,022.82, 17,658,512.82 and 6,994,828.20 is: 9,652,863.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,796,022.82 : 17,658,512.82 = 6,994,828.20 : x
  2. Step 2: Convert to fraction form
    12,796,022.82/17,658,512.82 = 6,994,828.20/x
  3. Step 3: Cross multiply
    12,796,022.82x = 17,658,512.82 × 6,994,828.20
  4. Step 4: Simplify right side
    12,796,022.82x = 123,518,263,443,397.53
  5. Step 5: Solve for x
    x = 123,518,263,443,397.53/12,796,022.82
  6. Step 6: Final answer
    x = 9,652,863.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.