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Finding the Fourth Proportional to 14,289.92, 21,432 and 3,901.76

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Solution

The fourth proportional to 14,289.92, 21,432 and 3,901.76 is: 5,851.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,289.92 : 21,432 = 3,901.76 : x
  2. Step 2: Convert to fraction form
    14,289.92/21,432 = 3,901.76/x
  3. Step 3: Cross multiply
    14,289.92x = 21,432 × 3,901.76
  4. Step 4: Simplify right side
    14,289.92x = 83,622,520.32
  5. Step 5: Solve for x
    x = 83,622,520.32/14,289.92
  6. Step 6: Final answer
    x = 5,851.85

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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.