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Finding the Fourth Proportional to 23,142.60, 34,715.94 and 6,502.76

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Solution

The fourth proportional to 23,142.60, 34,715.94 and 6,502.76 is: 9,754.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142.60 : 34,715.94 = 6,502.76 : x
  2. Step 2: Convert to fraction form
    23,142.60/34,715.94 = 6,502.76/x
  3. Step 3: Cross multiply
    23,142.60x = 34,715.94 × 6,502.76
  4. Step 4: Simplify right side
    23,142.60x = 225,749,425.99
  5. Step 5: Solve for x
    x = 225,749,425.99/23,142.60
  6. Step 6: Final answer
    x = 9,754.71

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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.