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Finding the Fourth Proportional to 24,897.76, 34,358.60 and 13,567.76

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Solution

The fourth proportional to 24,897.76, 34,358.60 and 13,567.76 is: 18,723.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,897.76 : 34,358.60 = 13,567.76 : x
  2. Step 2: Convert to fraction form
    24,897.76/34,358.60 = 13,567.76/x
  3. Step 3: Cross multiply
    24,897.76x = 34,358.60 × 13,567.76
  4. Step 4: Simplify right side
    24,897.76x = 466,169,238.74
  5. Step 5: Solve for x
    x = 466,169,238.74/24,897.76
  6. Step 6: Final answer
    x = 18,723.34

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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.