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Finding the Fourth Proportional to 12,789.84, 17,642.90 and 10,647.18

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Solution

The fourth proportional to 12,789.84, 17,642.90 and 10,647.18 is: 14,687.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,789.84 : 17,642.90 = 10,647.18 : x
  2. Step 2: Convert to fraction form
    12,789.84/17,642.90 = 10,647.18/x
  3. Step 3: Cross multiply
    12,789.84x = 17,642.90 × 10,647.18
  4. Step 4: Simplify right side
    12,789.84x = 187,847,132.02
  5. Step 5: Solve for x
    x = 187,847,132.02/12,789.84
  6. Step 6: Final answer
    x = 14,687.22

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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.