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Finding the Fourth Proportional to 12,814.80, 17,658.18 and 9,452.30

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Solution

The fourth proportional to 12,814.80, 17,658.18 and 9,452.30 is: 13,024.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.80 : 17,658.18 = 9,452.30 : x
  2. Step 2: Convert to fraction form
    12,814.80/17,658.18 = 9,452.30/x
  3. Step 3: Cross multiply
    12,814.80x = 17,658.18 × 9,452.30
  4. Step 4: Simplify right side
    12,814.80x = 166,910,326.52
  5. Step 5: Solve for x
    x = 166,910,326.52/12,814.80
  6. Step 6: Final answer
    x = 13,024.81

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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.