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Finding the Fourth Proportional to 17,724.18, 24,459.09 and 10,170.18

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Solution

The fourth proportional to 17,724.18, 24,459.09 and 10,170.18 is: 14,034.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,724.18 : 24,459.09 = 10,170.18 : x
  2. Step 2: Convert to fraction form
    17,724.18/24,459.09 = 10,170.18/x
  3. Step 3: Cross multiply
    17,724.18x = 24,459.09 × 10,170.18
  4. Step 4: Simplify right side
    17,724.18x = 248,753,347.94
  5. Step 5: Solve for x
    x = 248,753,347.94/17,724.18
  6. Step 6: Final answer
    x = 14,034.69

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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.