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Finding the Fourth Proportional to 13,814.64, 20,715.87 and 3,951.68

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Solution

The fourth proportional to 13,814.64, 20,715.87 and 3,951.68 is: 5,925.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.64 : 20,715.87 = 3,951.68 : x
  2. Step 2: Convert to fraction form
    13,814.64/20,715.87 = 3,951.68/x
  3. Step 3: Cross multiply
    13,814.64x = 20,715.87 × 3,951.68
  4. Step 4: Simplify right side
    13,814.64x = 81,862,385.58
  5. Step 5: Solve for x
    x = 81,862,385.58/13,814.64
  6. Step 6: Final answer
    x = 5,925.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.