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Finding the Fourth Proportional to 22,547.88, 31,116.24 and 13,593.60

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Solution

The fourth proportional to 22,547.88, 31,116.24 and 13,593.60 is: 18,759.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,547.88 : 31,116.24 = 13,593.60 : x
  2. Step 2: Convert to fraction form
    22,547.88/31,116.24 = 13,593.60/x
  3. Step 3: Cross multiply
    22,547.88x = 31,116.24 × 13,593.60
  4. Step 4: Simplify right side
    22,547.88x = 422,981,720.06
  5. Step 5: Solve for x
    x = 422,981,720.06/22,547.88
  6. Step 6: Final answer
    x = 18,759.27

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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.