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Finding the Fourth Proportional to 23,141.68, 34,711.92 and 6,501.88

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Solution

The fourth proportional to 23,141.68, 34,711.92 and 6,501.88 is: 9,752.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,141.68 : 34,711.92 = 6,501.88 : x
  2. Step 2: Convert to fraction form
    23,141.68/34,711.92 = 6,501.88/x
  3. Step 3: Cross multiply
    23,141.68x = 34,711.92 × 6,501.88
  4. Step 4: Simplify right side
    23,141.68x = 225,692,738.41
  5. Step 5: Solve for x
    x = 225,692,738.41/23,141.68
  6. Step 6: Final answer
    x = 9,752.65

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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.