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Finding the Fourth Proportional to 12,781.85, 17,628.57 and 10,523.79

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Solution

The fourth proportional to 12,781.85, 17,628.57 and 10,523.79 is: 14,514.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.85 : 17,628.57 = 10,523.79 : x
  2. Step 2: Convert to fraction form
    12,781.85/17,628.57 = 10,523.79/x
  3. Step 3: Cross multiply
    12,781.85x = 17,628.57 × 10,523.79
  4. Step 4: Simplify right side
    12,781.85x = 185,519,368.68
  5. Step 5: Solve for x
    x = 185,519,368.68/12,781.85
  6. Step 6: Final answer
    x = 14,514.29

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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.