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Finding the Fourth Proportional to 12,306.42, 18,445.05 and 7,627.46

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Solution

The fourth proportional to 12,306.42, 18,445.05 and 7,627.46 is: 11,432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.42 : 18,445.05 = 7,627.46 : x
  2. Step 2: Convert to fraction form
    12,306.42/18,445.05 = 7,627.46/x
  3. Step 3: Cross multiply
    12,306.42x = 18,445.05 × 7,627.46
  4. Step 4: Simplify right side
    12,306.42x = 140,688,788.85
  5. Step 5: Solve for x
    x = 140,688,788.85/12,306.42
  6. Step 6: Final answer
    x = 11,432.15

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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.