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Finding the Fourth Proportional to 12,412.90, 17,129.61 and 6,823.78

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Solution

The fourth proportional to 12,412.90, 17,129.61 and 6,823.78 is: 9,416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.90 : 17,129.61 = 6,823.78 : x
  2. Step 2: Convert to fraction form
    12,412.90/17,129.61 = 6,823.78/x
  3. Step 3: Cross multiply
    12,412.90x = 17,129.61 × 6,823.78
  4. Step 4: Simplify right side
    12,412.90x = 116,888,690.13
  5. Step 5: Solve for x
    x = 116,888,690.13/12,412.90
  6. Step 6: Final answer
    x = 9,416.71

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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.