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Finding the Fourth Proportional to 12,819.72, 17,686.28 and 7,512.60

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Solution

The fourth proportional to 12,819.72, 17,686.28 and 7,512.60 is: 10,364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,819.72 : 17,686.28 = 7,512.60 : x
  2. Step 2: Convert to fraction form
    12,819.72/17,686.28 = 7,512.60/x
  3. Step 3: Cross multiply
    12,819.72x = 17,686.28 × 7,512.60
  4. Step 4: Simplify right side
    12,819.72x = 132,869,947.13
  5. Step 5: Solve for x
    x = 132,869,947.13/12,819.72
  6. Step 6: Final answer
    x = 10,364.50

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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.