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Finding the Fourth Proportional to 12,224.72, 18,329.49 and 5,642.46

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Solution

The fourth proportional to 12,224.72, 18,329.49 and 5,642.46 is: 8,460.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.72 : 18,329.49 = 5,642.46 : x
  2. Step 2: Convert to fraction form
    12,224.72/18,329.49 = 5,642.46/x
  3. Step 3: Cross multiply
    12,224.72x = 18,329.49 × 5,642.46
  4. Step 4: Simplify right side
    12,224.72x = 103,423,414.15
  5. Step 5: Solve for x
    x = 103,423,414.15/12,224.72
  6. Step 6: Final answer
    x = 8,460.19

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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.