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Finding the Fourth Proportional to 20,462.24, 30,693.24 and 5,264.78

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Solution

The fourth proportional to 20,462.24, 30,693.24 and 5,264.78 is: 7,897.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,462.24 : 30,693.24 = 5,264.78 : x
  2. Step 2: Convert to fraction form
    20,462.24/30,693.24 = 5,264.78/x
  3. Step 3: Cross multiply
    20,462.24x = 30,693.24 × 5,264.78
  4. Step 4: Simplify right side
    20,462.24x = 161,593,156.09
  5. Step 5: Solve for x
    x = 161,593,156.09/20,462.24
  6. Step 6: Final answer
    x = 7,897.14

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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.