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Finding the Fourth Proportional to 23,141.23, 34,713.19 and 6,502.56

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Solution

The fourth proportional to 23,141.23, 34,713.19 and 6,502.56 is: 9,754.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,141.23 : 34,713.19 = 6,502.56 : x
  2. Step 2: Convert to fraction form
    23,141.23/34,713.19 = 6,502.56/x
  3. Step 3: Cross multiply
    23,141.23x = 34,713.19 × 6,502.56
  4. Step 4: Simplify right side
    23,141.23x = 225,724,673.98
  5. Step 5: Solve for x
    x = 225,724,673.98/23,141.23
  6. Step 6: Final answer
    x = 9,754.22

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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.