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Finding the Fourth Proportional to 12,191.76, 18,287.58 and 4,292.40

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Solution

The fourth proportional to 12,191.76, 18,287.58 and 4,292.40 is: 6,438.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.76 : 18,287.58 = 4,292.40 : x
  2. Step 2: Convert to fraction form
    12,191.76/18,287.58 = 4,292.40/x
  3. Step 3: Cross multiply
    12,191.76x = 18,287.58 × 4,292.40
  4. Step 4: Simplify right side
    12,191.76x = 78,497,608.39
  5. Step 5: Solve for x
    x = 78,497,608.39/12,191.76
  6. Step 6: Final answer
    x = 6,438.58

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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.