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Finding the Fourth Proportional to 21,332.70, 32,002.56 and 9,490.57

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Solution

The fourth proportional to 21,332.70, 32,002.56 and 9,490.57 is: 14,237.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,332.70 : 32,002.56 = 9,490.57 : x
  2. Step 2: Convert to fraction form
    21,332.70/32,002.56 = 9,490.57/x
  3. Step 3: Cross multiply
    21,332.70x = 32,002.56 × 9,490.57
  4. Step 4: Simplify right side
    21,332.70x = 303,722,455.85
  5. Step 5: Solve for x
    x = 303,722,455.85/21,332.70
  6. Step 6: Final answer
    x = 14,237.41

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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.