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Finding the Fourth Proportional to 18,223.52, 27,337.98 and 6,534

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Solution

The fourth proportional to 18,223.52, 27,337.98 and 6,534 is: 9,801.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,223.52 : 27,337.98 = 6,534 : x
  2. Step 2: Convert to fraction form
    18,223.52/27,337.98 = 6,534/x
  3. Step 3: Cross multiply
    18,223.52x = 27,337.98 × 6,534
  4. Step 4: Simplify right side
    18,223.52x = 178,626,361.32
  5. Step 5: Solve for x
    x = 178,626,361.32/18,223.52
  6. Step 6: Final answer
    x = 9,801.97

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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.