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Finding the Fourth Proportional to 22,593.50, 31,176.79 and 13,034.26

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Solution

The fourth proportional to 22,593.50, 31,176.79 and 13,034.26 is: 17,985.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,593.50 : 31,176.79 = 13,034.26 : x
  2. Step 2: Convert to fraction form
    22,593.50/31,176.79 = 13,034.26/x
  3. Step 3: Cross multiply
    22,593.50x = 31,176.79 × 13,034.26
  4. Step 4: Simplify right side
    22,593.50x = 406,366,386.83
  5. Step 5: Solve for x
    x = 406,366,386.83/22,593.50
  6. Step 6: Final answer
    x = 17,985.99

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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.