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Finding the Fourth Proportional to 17,524.76, 24,184.66 and 9,972.16

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Solution

The fourth proportional to 17,524.76, 24,184.66 and 9,972.16 is: 13,761.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,524.76 : 24,184.66 = 9,972.16 : x
  2. Step 2: Convert to fraction form
    17,524.76/24,184.66 = 9,972.16/x
  3. Step 3: Cross multiply
    17,524.76x = 24,184.66 × 9,972.16
  4. Step 4: Simplify right side
    17,524.76x = 241,173,299.07
  5. Step 5: Solve for x
    x = 241,173,299.07/17,524.76
  6. Step 6: Final answer
    x = 13,761.86

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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.