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Finding the Fourth Proportional to 24,871.40, 34,322.56 and 13,693.40

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Solution

The fourth proportional to 24,871.40, 34,322.56 and 13,693.40 is: 18,896.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,871.40 : 34,322.56 = 13,693.40 : x
  2. Step 2: Convert to fraction form
    24,871.40/34,322.56 = 13,693.40/x
  3. Step 3: Cross multiply
    24,871.40x = 34,322.56 × 13,693.40
  4. Step 4: Simplify right side
    24,871.40x = 469,992,543.10
  5. Step 5: Solve for x
    x = 469,992,543.10/24,871.40
  6. Step 6: Final answer
    x = 18,896.91

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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.