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Finding the Fourth Proportional to 22,468.25, 31,006.19 and 12,532.25

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Solution

The fourth proportional to 22,468.25, 31,006.19 and 12,532.25 is: 17,294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,468.25 : 31,006.19 = 12,532.25 : x
  2. Step 2: Convert to fraction form
    22,468.25/31,006.19 = 12,532.25/x
  3. Step 3: Cross multiply
    22,468.25x = 31,006.19 × 12,532.25
  4. Step 4: Simplify right side
    22,468.25x = 388,577,324.63
  5. Step 5: Solve for x
    x = 388,577,324.63/22,468.25
  6. Step 6: Final answer
    x = 17,294.51

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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.