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Finding the Fourth Proportional to 12,851.76, 19,277.64 and 4,086.69

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Solution

The fourth proportional to 12,851.76, 19,277.64 and 4,086.69 is: 6,130.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.76 : 19,277.64 = 4,086.69 : x
  2. Step 2: Convert to fraction form
    12,851.76/19,277.64 = 4,086.69/x
  3. Step 3: Cross multiply
    12,851.76x = 19,277.64 × 4,086.69
  4. Step 4: Simplify right side
    12,851.76x = 78,781,738.61
  5. Step 5: Solve for x
    x = 78,781,738.61/12,851.76
  6. Step 6: Final answer
    x = 6,130.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.