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Finding the Fourth Proportional to 12,160.30, 18,239.10 and 9,965.20

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Solution

The fourth proportional to 12,160.30, 18,239.10 and 9,965.20 is: 14,946.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160.30 : 18,239.10 = 9,965.20 : x
  2. Step 2: Convert to fraction form
    12,160.30/18,239.10 = 9,965.20/x
  3. Step 3: Cross multiply
    12,160.30x = 18,239.10 × 9,965.20
  4. Step 4: Simplify right side
    12,160.30x = 181,756,279.32
  5. Step 5: Solve for x
    x = 181,756,279.32/12,160.30
  6. Step 6: Final answer
    x = 14,946.69

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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.