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Finding the Fourth Proportional to 12,795,224.82, 17,657,409.05 and 6,994,029.63

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Solution

The fourth proportional to 12,795,224.82, 17,657,409.05 and 6,994,029.63 is: 9,651,760.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,795,224.82 : 17,657,409.05 = 6,994,029.63 : x
  2. Step 2: Convert to fraction form
    12,795,224.82/17,657,409.05 = 6,994,029.63/x
  3. Step 3: Cross multiply
    12,795,224.82x = 17,657,409.05 × 6,994,029.63
  4. Step 4: Simplify right side
    12,795,224.82x = 123,496,442,049,760.02
  5. Step 5: Solve for x
    x = 123,496,442,049,760.02/12,795,224.82
  6. Step 6: Final answer
    x = 9,651,760.23

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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.