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Finding the Fourth Proportional to 12,706.32, 19,062.24 and 6,862.80

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Solution

The fourth proportional to 12,706.32, 19,062.24 and 6,862.80 is: 10,295.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.32 : 19,062.24 = 6,862.80 : x
  2. Step 2: Convert to fraction form
    12,706.32/19,062.24 = 6,862.80/x
  3. Step 3: Cross multiply
    12,706.32x = 19,062.24 × 6,862.80
  4. Step 4: Simplify right side
    12,706.32x = 130,820,340.67
  5. Step 5: Solve for x
    x = 130,820,340.67/12,706.32
  6. Step 6: Final answer
    x = 10,295.69

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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.