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Finding the Fourth Proportional to 29,988.25, 41,387.43 and 17,413

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Solution

The fourth proportional to 29,988.25, 41,387.43 and 17,413 is: 24,032.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,988.25 : 41,387.43 = 17,413 : x
  2. Step 2: Convert to fraction form
    29,988.25/41,387.43 = 17,413/x
  3. Step 3: Cross multiply
    29,988.25x = 41,387.43 × 17,413
  4. Step 4: Simplify right side
    29,988.25x = 720,679,318.59
  5. Step 5: Solve for x
    x = 720,679,318.59/29,988.25
  6. Step 6: Final answer
    x = 24,032.06

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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.