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Finding the Fourth Proportional to 21,337.92, 32,003.16 and 9,648.40

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Solution

The fourth proportional to 21,337.92, 32,003.16 and 9,648.40 is: 14,470.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,337.92 : 32,003.16 = 9,648.40 : x
  2. Step 2: Convert to fraction form
    21,337.92/32,003.16 = 9,648.40/x
  3. Step 3: Cross multiply
    21,337.92x = 32,003.16 × 9,648.40
  4. Step 4: Simplify right side
    21,337.92x = 308,779,288.94
  5. Step 5: Solve for x
    x = 308,779,288.94/21,337.92
  6. Step 6: Final answer
    x = 14,470.92

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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.