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Finding the Fourth Proportional to 22,542.69, 31,111.83 and 13,934.19

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Solution

The fourth proportional to 22,542.69, 31,111.83 and 13,934.19 is: 19,230.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,542.69 : 31,111.83 = 13,934.19 : x
  2. Step 2: Convert to fraction form
    22,542.69/31,111.83 = 13,934.19/x
  3. Step 3: Cross multiply
    22,542.69x = 31,111.83 × 13,934.19
  4. Step 4: Simplify right side
    22,542.69x = 433,518,150.47
  5. Step 5: Solve for x
    x = 433,518,150.47/22,542.69
  6. Step 6: Final answer
    x = 19,230.99

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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.