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Finding the Fourth Proportional to 24,785.76, 34,203.96 and 13,607.76

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Solution

The fourth proportional to 24,785.76, 34,203.96 and 13,607.76 is: 18,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,785.76 : 34,203.96 = 13,607.76 : x
  2. Step 2: Convert to fraction form
    24,785.76/34,203.96 = 13,607.76/x
  3. Step 3: Cross multiply
    24,785.76x = 34,203.96 × 13,607.76
  4. Step 4: Simplify right side
    24,785.76x = 465,439,278.73
  5. Step 5: Solve for x
    x = 465,439,278.73/24,785.76
  6. Step 6: Final answer
    x = 18,778.50

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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.