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Finding the Fourth Proportional to 12,146.49, 18,218.17 and 5,129.28

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Solution

The fourth proportional to 12,146.49, 18,218.17 and 5,129.28 is: 7,693.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.49 : 18,218.17 = 5,129.28 : x
  2. Step 2: Convert to fraction form
    12,146.49/18,218.17 = 5,129.28/x
  3. Step 3: Cross multiply
    12,146.49x = 18,218.17 × 5,129.28
  4. Step 4: Simplify right side
    12,146.49x = 93,446,095.02
  5. Step 5: Solve for x
    x = 93,446,095.02/12,146.49
  6. Step 6: Final answer
    x = 7,693.26

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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.