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Finding the Fourth Proportional to 12,851.32, 17,744.88 and 9,862.42

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Solution

The fourth proportional to 12,851.32, 17,744.88 and 9,862.42 is: 13,617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.32 : 17,744.88 = 9,862.42 : x
  2. Step 2: Convert to fraction form
    12,851.32/17,744.88 = 9,862.42/x
  3. Step 3: Cross multiply
    12,851.32x = 17,744.88 × 9,862.42
  4. Step 4: Simplify right side
    12,851.32x = 175,007,459.41
  5. Step 5: Solve for x
    x = 175,007,459.41/12,851.32
  6. Step 6: Final answer
    x = 13,617.86

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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.