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Finding the Fourth Proportional to 12,851.73, 17,744.00 and 9,862.29

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Solution

The fourth proportional to 12,851.73, 17,744.00 and 9,862.29 is: 13,616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.73 : 17,744.00 = 9,862.29 : x
  2. Step 2: Convert to fraction form
    12,851.73/17,744.00 = 9,862.29/x
  3. Step 3: Cross multiply
    12,851.73x = 17,744.00 × 9,862.29
  4. Step 4: Simplify right side
    12,851.73x = 174,996,424.45
  5. Step 5: Solve for x
    x = 174,996,424.45/12,851.73
  6. Step 6: Final answer
    x = 13,616.57

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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.