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Finding the Fourth Proportional to 22,594.50, 31,178.17 and 13,035.26

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Solution

The fourth proportional to 22,594.50, 31,178.17 and 13,035.26 is: 17,987.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,594.50 : 31,178.17 = 13,035.26 : x
  2. Step 2: Convert to fraction form
    22,594.50/31,178.17 = 13,035.26/x
  3. Step 3: Cross multiply
    22,594.50x = 31,178.17 × 13,035.26
  4. Step 4: Simplify right side
    22,594.50x = 406,415,552.27
  5. Step 5: Solve for x
    x = 406,415,552.27/22,594.50
  6. Step 6: Final answer
    x = 17,987.37

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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.