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Finding the Fourth Proportional to 20,882.52, 31,328.18 and 7,735

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Solution

The fourth proportional to 20,882.52, 31,328.18 and 7,735 is: 11,604.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,882.52 : 31,328.18 = 7,735 : x
  2. Step 2: Convert to fraction form
    20,882.52/31,328.18 = 7,735/x
  3. Step 3: Cross multiply
    20,882.52x = 31,328.18 × 7,735
  4. Step 4: Simplify right side
    20,882.52x = 242,323,472.30
  5. Step 5: Solve for x
    x = 242,323,472.30/20,882.52
  6. Step 6: Final answer
    x = 11,604.13

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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.