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Finding the Fourth Proportional to 14,321.92, 21,480 and 3,932.32

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Solution

The fourth proportional to 14,321.92, 21,480 and 3,932.32 is: 5,897.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,321.92 : 21,480 = 3,932.32 : x
  2. Step 2: Convert to fraction form
    14,321.92/21,480 = 3,932.32/x
  3. Step 3: Cross multiply
    14,321.92x = 21,480 × 3,932.32
  4. Step 4: Simplify right side
    14,321.92x = 84,466,233.60
  5. Step 5: Solve for x
    x = 84,466,233.60/14,321.92
  6. Step 6: Final answer
    x = 5,897.69

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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.