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Finding the Fourth Proportional to 17,712.17, 24,442.68 and 9,754.34

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Solution

The fourth proportional to 17,712.17, 24,442.68 and 9,754.34 is: 13,460.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,712.17 : 24,442.68 = 9,754.34 : x
  2. Step 2: Convert to fraction form
    17,712.17/24,442.68 = 9,754.34/x
  3. Step 3: Cross multiply
    17,712.17x = 24,442.68 × 9,754.34
  4. Step 4: Simplify right side
    17,712.17x = 238,422,211.23
  5. Step 5: Solve for x
    x = 238,422,211.23/17,712.17
  6. Step 6: Final answer
    x = 13,460.93

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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.