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Finding the Fourth Proportional to 17,712.58, 24,443.74 and 9,755.14

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Solution

The fourth proportional to 17,712.58, 24,443.74 and 9,755.14 is: 13,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,712.58 : 24,443.74 = 9,755.14 : x
  2. Step 2: Convert to fraction form
    17,712.58/24,443.74 = 9,755.14/x
  3. Step 3: Cross multiply
    17,712.58x = 24,443.74 × 9,755.14
  4. Step 4: Simplify right side
    17,712.58x = 238,452,105.82
  5. Step 5: Solve for x
    x = 238,452,105.82/17,712.58
  6. Step 6: Final answer
    x = 13,462.30

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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.