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Finding the Fourth Proportional to 22,517.96, 31,078.64 and 13,092

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Solution

The fourth proportional to 22,517.96, 31,078.64 and 13,092 is: 18,069.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,517.96 : 31,078.64 = 13,092 : x
  2. Step 2: Convert to fraction form
    22,517.96/31,078.64 = 13,092/x
  3. Step 3: Cross multiply
    22,517.96x = 31,078.64 × 13,092
  4. Step 4: Simplify right side
    22,517.96x = 406,881,554.88
  5. Step 5: Solve for x
    x = 406,881,554.88/22,517.96
  6. Step 6: Final answer
    x = 18,069.20

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Why These Related Problems?

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