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Finding the Fourth Proportional to 23,225.96, 34,838.94 and 8,432.12

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Solution

The fourth proportional to 23,225.96, 34,838.94 and 8,432.12 is: 12,648.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,225.96 : 34,838.94 = 8,432.12 : x
  2. Step 2: Convert to fraction form
    23,225.96/34,838.94 = 8,432.12/x
  3. Step 3: Cross multiply
    23,225.96x = 34,838.94 × 8,432.12
  4. Step 4: Simplify right side
    23,225.96x = 293,766,122.75
  5. Step 5: Solve for x
    x = 293,766,122.75/23,225.96
  6. Step 6: Final answer
    x = 12,648.18

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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.