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Finding the Fourth Proportional to 29,006.32, 40,035.16 and 16,438

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Solution

The fourth proportional to 29,006.32, 40,035.16 and 16,438 is: 22,688.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,006.32 : 40,035.16 = 16,438 : x
  2. Step 2: Convert to fraction form
    29,006.32/40,035.16 = 16,438/x
  3. Step 3: Cross multiply
    29,006.32x = 40,035.16 × 16,438
  4. Step 4: Simplify right side
    29,006.32x = 658,097,960.08
  5. Step 5: Solve for x
    x = 658,097,960.08/29,006.32
  6. Step 6: Final answer
    x = 22,688.09

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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.