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Finding the Fourth Proportional to 12,766.32, 19,134.84 and 6,838.68

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Solution

The fourth proportional to 12,766.32, 19,134.84 and 6,838.68 is: 10,250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.32 : 19,134.84 = 6,838.68 : x
  2. Step 2: Convert to fraction form
    12,766.32/19,134.84 = 6,838.68/x
  3. Step 3: Cross multiply
    12,766.32x = 19,134.84 × 6,838.68
  4. Step 4: Simplify right side
    12,766.32x = 130,857,047.61
  5. Step 5: Solve for x
    x = 130,857,047.61/12,766.32
  6. Step 6: Final answer
    x = 10,250.18

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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.