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Finding the Fourth Proportional to 12,115.40, 18,255.56 and 9,972.20

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Solution

The fourth proportional to 12,115.40, 18,255.56 and 9,972.20 is: 15,026.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.40 : 18,255.56 = 9,972.20 : x
  2. Step 2: Convert to fraction form
    12,115.40/18,255.56 = 9,972.20/x
  3. Step 3: Cross multiply
    12,115.40x = 18,255.56 × 9,972.20
  4. Step 4: Simplify right side
    12,115.40x = 182,048,095.43
  5. Step 5: Solve for x
    x = 182,048,095.43/12,115.40
  6. Step 6: Final answer
    x = 15,026.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.