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Finding the Fourth Proportional to 17,524.71, 24,184.71 and 9,972.18

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Solution

The fourth proportional to 17,524.71, 24,184.71 and 9,972.18 is: 13,761.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,524.71 : 24,184.71 = 9,972.18 : x
  2. Step 2: Convert to fraction form
    17,524.71/24,184.71 = 9,972.18/x
  3. Step 3: Cross multiply
    17,524.71x = 24,184.71 × 9,972.18
  4. Step 4: Simplify right side
    17,524.71x = 241,174,281.37
  5. Step 5: Solve for x
    x = 241,174,281.37/17,524.71
  6. Step 6: Final answer
    x = 13,761.96

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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.