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Finding the Fourth Proportional to 21,337.20, 32,015.40 and 9,644.40

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Solution

The fourth proportional to 21,337.20, 32,015.40 and 9,644.40 is: 14,470.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,337.20 : 32,015.40 = 9,644.40 : x
  2. Step 2: Convert to fraction form
    21,337.20/32,015.40 = 9,644.40/x
  3. Step 3: Cross multiply
    21,337.20x = 32,015.40 × 9,644.40
  4. Step 4: Simplify right side
    21,337.20x = 308,769,323.76
  5. Step 5: Solve for x
    x = 308,769,323.76/21,337.20
  6. Step 6: Final answer
    x = 14,470.94

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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.