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Finding the Fourth Proportional to 12,714.49, 17,547.81 and 7,050.49

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Solution

The fourth proportional to 12,714.49, 17,547.81 and 7,050.49 is: 9,730.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.49 : 17,547.81 = 7,050.49 : x
  2. Step 2: Convert to fraction form
    12,714.49/17,547.81 = 7,050.49/x
  3. Step 3: Cross multiply
    12,714.49x = 17,547.81 × 7,050.49
  4. Step 4: Simplify right side
    12,714.49x = 123,720,687.32
  5. Step 5: Solve for x
    x = 123,720,687.32/12,714.49
  6. Step 6: Final answer
    x = 9,730.69

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