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Finding the Fourth Proportional to 22,513.80, 31,069.32 and 12,442.14

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Solution

The fourth proportional to 22,513.80, 31,069.32 and 12,442.14 is: 17,170.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,513.80 : 31,069.32 = 12,442.14 : x
  2. Step 2: Convert to fraction form
    22,513.80/31,069.32 = 12,442.14/x
  3. Step 3: Cross multiply
    22,513.80x = 31,069.32 × 12,442.14
  4. Step 4: Simplify right side
    22,513.80x = 386,568,829.14
  5. Step 5: Solve for x
    x = 386,568,829.14/22,513.80
  6. Step 6: Final answer
    x = 17,170.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.