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Finding the Fourth Proportional to 13,247.24, 18,282.80 and 7,658.24

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Solution

The fourth proportional to 13,247.24, 18,282.80 and 7,658.24 is: 10,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,247.24 : 18,282.80 = 7,658.24 : x
  2. Step 2: Convert to fraction form
    13,247.24/18,282.80 = 7,658.24/x
  3. Step 3: Cross multiply
    13,247.24x = 18,282.80 × 7,658.24
  4. Step 4: Simplify right side
    13,247.24x = 140,013,998.00
  5. Step 5: Solve for x
    x = 140,013,998.00/13,247.24
  6. Step 6: Final answer
    x = 10,569.30

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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.