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Finding the Fourth Proportional to 22,935.79, 34,402.23 and 8,142.76

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Solution

The fourth proportional to 22,935.79, 34,402.23 and 8,142.76 is: 12,213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,935.79 : 34,402.23 = 8,142.76 : x
  2. Step 2: Convert to fraction form
    22,935.79/34,402.23 = 8,142.76/x
  3. Step 3: Cross multiply
    22,935.79x = 34,402.23 × 8,142.76
  4. Step 4: Simplify right side
    22,935.79x = 280,129,102.35
  5. Step 5: Solve for x
    x = 280,129,102.35/22,935.79
  6. Step 6: Final answer
    x = 12,213.62

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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.