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Finding the Fourth Proportional to 17,712.25, 24,442.91 and 9,754.46

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Solution

The fourth proportional to 17,712.25, 24,442.91 and 9,754.46 is: 13,461.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,712.25 : 24,442.91 = 9,754.46 : x
  2. Step 2: Convert to fraction form
    17,712.25/24,442.91 = 9,754.46/x
  3. Step 3: Cross multiply
    17,712.25x = 24,442.91 × 9,754.46
  4. Step 4: Simplify right side
    17,712.25x = 238,427,339.11
  5. Step 5: Solve for x
    x = 238,427,339.11/17,712.25
  6. Step 6: Final answer
    x = 13,461.15

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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.