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Finding the Fourth Proportional to 20,417.60, 28,174.02 and 11,463.86

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Solution

The fourth proportional to 20,417.60, 28,174.02 and 11,463.86 is: 15,818.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,417.60 : 28,174.02 = 11,463.86 : x
  2. Step 2: Convert to fraction form
    20,417.60/28,174.02 = 11,463.86/x
  3. Step 3: Cross multiply
    20,417.60x = 28,174.02 × 11,463.86
  4. Step 4: Simplify right side
    20,417.60x = 322,983,020.92
  5. Step 5: Solve for x
    x = 322,983,020.92/20,417.60
  6. Step 6: Final answer
    x = 15,818.85

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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.