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Finding the Fourth Proportional to 23,225.92, 34,838.80 and 6,586.09

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Solution

The fourth proportional to 23,225.92, 34,838.80 and 6,586.09 is: 9,879.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,225.92 : 34,838.80 = 6,586.09 : x
  2. Step 2: Convert to fraction form
    23,225.92/34,838.80 = 6,586.09/x
  3. Step 3: Cross multiply
    23,225.92x = 34,838.80 × 6,586.09
  4. Step 4: Simplify right side
    23,225.92x = 229,451,472.29
  5. Step 5: Solve for x
    x = 229,451,472.29/23,225.92
  6. Step 6: Final answer
    x = 9,879.11

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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.