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Finding the Fourth Proportional to 24,871.38, 34,322.57 and 13,693.38

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Solution

The fourth proportional to 24,871.38, 34,322.57 and 13,693.38 is: 18,896.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,871.38 : 34,322.57 = 13,693.38 : x
  2. Step 2: Convert to fraction form
    24,871.38/34,322.57 = 13,693.38/x
  3. Step 3: Cross multiply
    24,871.38x = 34,322.57 × 13,693.38
  4. Step 4: Simplify right side
    24,871.38x = 469,991,925.12
  5. Step 5: Solve for x
    x = 469,991,925.12/24,871.38
  6. Step 6: Final answer
    x = 18,896.90

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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.