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Finding the Fourth Proportional to 12,899.84, 17,777.67 and 10,062.71

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Solution

The fourth proportional to 12,899.84, 17,777.67 and 10,062.71 is: 13,867.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,899.84 : 17,777.67 = 10,062.71 : x
  2. Step 2: Convert to fraction form
    12,899.84/17,777.67 = 10,062.71/x
  3. Step 3: Cross multiply
    12,899.84x = 17,777.67 × 10,062.71
  4. Step 4: Simplify right side
    12,899.84x = 178,891,477.73
  5. Step 5: Solve for x
    x = 178,891,477.73/12,899.84
  6. Step 6: Final answer
    x = 13,867.73

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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.