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Finding the Fourth Proportional to 29,710.22, 40,998.91 and 17,780.14

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Solution

The fourth proportional to 29,710.22, 40,998.91 and 17,780.14 is: 24,535.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,710.22 : 40,998.91 = 17,780.14 : x
  2. Step 2: Convert to fraction form
    29,710.22/40,998.91 = 17,780.14/x
  3. Step 3: Cross multiply
    29,710.22x = 40,998.91 × 17,780.14
  4. Step 4: Simplify right side
    29,710.22x = 728,966,359.65
  5. Step 5: Solve for x
    x = 728,966,359.65/29,710.22
  6. Step 6: Final answer
    x = 24,535.88

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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.