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Finding the Fourth Proportional to 13,597.24, 20,373.90 and 7,758.04

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Solution

The fourth proportional to 13,597.24, 20,373.90 and 7,758.04 is: 11,624.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.24 : 20,373.90 = 7,758.04 : x
  2. Step 2: Convert to fraction form
    13,597.24/20,373.90 = 7,758.04/x
  3. Step 3: Cross multiply
    13,597.24x = 20,373.90 × 7,758.04
  4. Step 4: Simplify right side
    13,597.24x = 158,061,531.16
  5. Step 5: Solve for x
    x = 158,061,531.16/13,597.24
  6. Step 6: Final answer
    x = 11,624.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.