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Finding the Fourth Proportional to 12,387.12, 18,554.68 and 9,742.20

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Solution

The fourth proportional to 12,387.12, 18,554.68 and 9,742.20 is: 14,592.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,387.12 : 18,554.68 = 9,742.20 : x
  2. Step 2: Convert to fraction form
    12,387.12/18,554.68 = 9,742.20/x
  3. Step 3: Cross multiply
    12,387.12x = 18,554.68 × 9,742.20
  4. Step 4: Simplify right side
    12,387.12x = 180,763,403.50
  5. Step 5: Solve for x
    x = 180,763,403.50/12,387.12
  6. Step 6: Final answer
    x = 14,592.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.