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Finding the Fourth Proportional to 22,432.10, 33,648.15 and 7,657.70

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Solution

The fourth proportional to 22,432.10, 33,648.15 and 7,657.70 is: 11,486.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432.10 : 33,648.15 = 7,657.70 : x
  2. Step 2: Convert to fraction form
    22,432.10/33,648.15 = 7,657.70/x
  3. Step 3: Cross multiply
    22,432.10x = 33,648.15 × 7,657.70
  4. Step 4: Simplify right side
    22,432.10x = 257,667,438.26
  5. Step 5: Solve for x
    x = 257,667,438.26/22,432.10
  6. Step 6: Final answer
    x = 11,486.55

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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.