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Finding the Fourth Proportional to 12,514.37, 17,269.69 and 6,849.10

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Solution

The fourth proportional to 12,514.37, 17,269.69 and 6,849.10 is: 9,451.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.37 : 17,269.69 = 6,849.10 : x
  2. Step 2: Convert to fraction form
    12,514.37/17,269.69 = 6,849.10/x
  3. Step 3: Cross multiply
    12,514.37x = 17,269.69 × 6,849.10
  4. Step 4: Simplify right side
    12,514.37x = 118,281,833.78
  5. Step 5: Solve for x
    x = 118,281,833.78/12,514.37
  6. Step 6: Final answer
    x = 9,451.68

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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.