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Finding the Fourth Proportional to 22,591.50, 31,174.04 and 13,032.26

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Solution

The fourth proportional to 22,591.50, 31,174.04 and 13,032.26 is: 17,983.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,591.50 : 31,174.04 = 13,032.26 : x
  2. Step 2: Convert to fraction form
    22,591.50/31,174.04 = 13,032.26/x
  3. Step 3: Cross multiply
    22,591.50x = 31,174.04 × 13,032.26
  4. Step 4: Simplify right side
    22,591.50x = 406,267,973.50
  5. Step 5: Solve for x
    x = 406,267,973.50/22,591.50
  6. Step 6: Final answer
    x = 17,983.22

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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.