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Finding the Fourth Proportional to 21,384.52, 32,076.76 and 9,535.24

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Solution

The fourth proportional to 21,384.52, 32,076.76 and 9,535.24 is: 14,302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384.52 : 32,076.76 = 9,535.24 : x
  2. Step 2: Convert to fraction form
    21,384.52/32,076.76 = 9,535.24/x
  3. Step 3: Cross multiply
    21,384.52x = 32,076.76 × 9,535.24
  4. Step 4: Simplify right side
    21,384.52x = 305,859,605.02
  5. Step 5: Solve for x
    x = 305,859,605.02/21,384.52
  6. Step 6: Final answer
    x = 14,302.85

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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.