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Finding the Fourth Proportional to 23,708.84, 32,717.70 and 13,098.24

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Solution

The fourth proportional to 23,708.84, 32,717.70 and 13,098.24 is: 18,075.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,708.84 : 32,717.70 = 13,098.24 : x
  2. Step 2: Convert to fraction form
    23,708.84/32,717.70 = 13,098.24/x
  3. Step 3: Cross multiply
    23,708.84x = 32,717.70 × 13,098.24
  4. Step 4: Simplify right side
    23,708.84x = 428,544,286.85
  5. Step 5: Solve for x
    x = 428,544,286.85/23,708.84
  6. Step 6: Final answer
    x = 18,075.30

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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.