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Finding the Fourth Proportional to 20,431.78, 30,635.78 and 7,937.17

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Solution

The fourth proportional to 20,431.78, 30,635.78 and 7,937.17 is: 11,901.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,431.78 : 30,635.78 = 7,937.17 : x
  2. Step 2: Convert to fraction form
    20,431.78/30,635.78 = 7,937.17/x
  3. Step 3: Cross multiply
    20,431.78x = 30,635.78 × 7,937.17
  4. Step 4: Simplify right side
    20,431.78x = 243,161,277.67
  5. Step 5: Solve for x
    x = 243,161,277.67/20,431.78
  6. Step 6: Final answer
    x = 11,901.13

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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.