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Finding the Fourth Proportional to 17,581.23, 24,261.91 and 9,514.71

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Solution

The fourth proportional to 17,581.23, 24,261.91 and 9,514.71 is: 13,130.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,581.23 : 24,261.91 = 9,514.71 : x
  2. Step 2: Convert to fraction form
    17,581.23/24,261.91 = 9,514.71/x
  3. Step 3: Cross multiply
    17,581.23x = 24,261.91 × 9,514.71
  4. Step 4: Simplify right side
    17,581.23x = 230,845,037.70
  5. Step 5: Solve for x
    x = 230,845,037.70/17,581.23
  6. Step 6: Final answer
    x = 13,130.20

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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.