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Finding the Fourth Proportional to 12,154.30, 18,230.10 and 9,959.20

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Solution

The fourth proportional to 12,154.30, 18,230.10 and 9,959.20 is: 14,937.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.30 : 18,230.10 = 9,959.20 : x
  2. Step 2: Convert to fraction form
    12,154.30/18,230.10 = 9,959.20/x
  3. Step 3: Cross multiply
    12,154.30x = 18,230.10 × 9,959.20
  4. Step 4: Simplify right side
    12,154.30x = 181,557,211.92
  5. Step 5: Solve for x
    x = 181,557,211.92/12,154.30
  6. Step 6: Final answer
    x = 14,937.69

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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.