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Finding the Fourth Proportional to 12,819.96, 17,686.62 and 7,512.84

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Solution

The fourth proportional to 12,819.96, 17,686.62 and 7,512.84 is: 10,364.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,819.96 : 17,686.62 = 7,512.84 : x
  2. Step 2: Convert to fraction form
    12,819.96/17,686.62 = 7,512.84/x
  3. Step 3: Cross multiply
    12,819.96x = 17,686.62 × 7,512.84
  4. Step 4: Simplify right side
    12,819.96x = 132,876,746.20
  5. Step 5: Solve for x
    x = 132,876,746.20/12,819.96
  6. Step 6: Final answer
    x = 10,364.83

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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.