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Finding the Fourth Proportional to 12,862.74, 17,729.40 and 8,612.28

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Solution

The fourth proportional to 12,862.74, 17,729.40 and 8,612.28 is: 11,870.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.74 : 17,729.40 = 8,612.28 : x
  2. Step 2: Convert to fraction form
    12,862.74/17,729.40 = 8,612.28/x
  3. Step 3: Cross multiply
    12,862.74x = 17,729.40 × 8,612.28
  4. Step 4: Simplify right side
    12,862.74x = 152,690,557.03
  5. Step 5: Solve for x
    x = 152,690,557.03/12,862.74
  6. Step 6: Final answer
    x = 11,870.76

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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.