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Finding the Fourth Proportional to 22,758.26, 31,417.52 and 17,642.25

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Solution

The fourth proportional to 22,758.26, 31,417.52 and 17,642.25 is: 24,354.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.26 : 31,417.52 = 17,642.25 : x
  2. Step 2: Convert to fraction form
    22,758.26/31,417.52 = 17,642.25/x
  3. Step 3: Cross multiply
    22,758.26x = 31,417.52 × 17,642.25
  4. Step 4: Simplify right side
    22,758.26x = 554,275,654.01
  5. Step 5: Solve for x
    x = 554,275,654.01/22,758.26
  6. Step 6: Final answer
    x = 24,354.93

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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.