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Finding the Fourth Proportional to 29,684, 40,963.92 and 16,436

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Solution

The fourth proportional to 29,684, 40,963.92 and 16,436 is: 22,681.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,684 : 40,963.92 = 16,436 : x
  2. Step 2: Convert to fraction form
    29,684/40,963.92 = 16,436/x
  3. Step 3: Cross multiply
    29,684x = 40,963.92 × 16,436
  4. Step 4: Simplify right side
    29,684x = 673,282,989.12
  5. Step 5: Solve for x
    x = 673,282,989.12/29,684
  6. Step 6: Final answer
    x = 22,681.68

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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.