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Finding the Fourth Proportional to 22,514.72, 31,074.17 and 13,088.75

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Solution

The fourth proportional to 22,514.72, 31,074.17 and 13,088.75 is: 18,064.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514.72 : 31,074.17 = 13,088.75 : x
  2. Step 2: Convert to fraction form
    22,514.72/31,074.17 = 13,088.75/x
  3. Step 3: Cross multiply
    22,514.72x = 31,074.17 × 13,088.75
  4. Step 4: Simplify right side
    22,514.72x = 406,721,821.77
  5. Step 5: Solve for x
    x = 406,721,821.77/22,514.72
  6. Step 6: Final answer
    x = 18,064.71

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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.