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Finding the Fourth Proportional to 29,683.30, 40,962.94 and 16,254.55

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Solution

The fourth proportional to 29,683.30, 40,962.94 and 16,254.55 is: 22,431.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,683.30 : 40,962.94 = 16,254.55 : x
  2. Step 2: Convert to fraction form
    29,683.30/40,962.94 = 16,254.55/x
  3. Step 3: Cross multiply
    29,683.30x = 40,962.94 × 16,254.55
  4. Step 4: Simplify right side
    29,683.30x = 665,834,156.38
  5. Step 5: Solve for x
    x = 665,834,156.38/29,683.30
  6. Step 6: Final answer
    x = 22,431.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.