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Finding the Fourth Proportional to 23,016.88, 31,761.04 and 12,943

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Solution

The fourth proportional to 23,016.88, 31,761.04 and 12,943 is: 17,860.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,016.88 : 31,761.04 = 12,943 : x
  2. Step 2: Convert to fraction form
    23,016.88/31,761.04 = 12,943/x
  3. Step 3: Cross multiply
    23,016.88x = 31,761.04 × 12,943
  4. Step 4: Simplify right side
    23,016.88x = 411,083,140.72
  5. Step 5: Solve for x
    x = 411,083,140.72/23,016.88
  6. Step 6: Final answer
    x = 17,860.07

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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.