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Finding the Fourth Proportional to 29,343.96, 40,494.30 and 15,915

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Solution

The fourth proportional to 29,343.96, 40,494.30 and 15,915 is: 21,962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,343.96 : 40,494.30 = 15,915 : x
  2. Step 2: Convert to fraction form
    29,343.96/40,494.30 = 15,915/x
  3. Step 3: Cross multiply
    29,343.96x = 40,494.30 × 15,915
  4. Step 4: Simplify right side
    29,343.96x = 644,466,784.50
  5. Step 5: Solve for x
    x = 644,466,784.50/29,343.96
  6. Step 6: Final answer
    x = 21,962.50

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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.