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Finding the Fourth Proportional to 23,141.59, 34,713.74 and 6,502.92

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Solution

The fourth proportional to 23,141.59, 34,713.74 and 6,502.92 is: 9,754.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,141.59 : 34,713.74 = 6,502.92 : x
  2. Step 2: Convert to fraction form
    23,141.59/34,713.74 = 6,502.92/x
  3. Step 3: Cross multiply
    23,141.59x = 34,713.74 × 6,502.92
  4. Step 4: Simplify right side
    23,141.59x = 225,740,674.12
  5. Step 5: Solve for x
    x = 225,740,674.12/23,141.59
  6. Step 6: Final answer
    x = 9,754.76

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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.