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Finding the Fourth Proportional to 12,708.66, 19,062.89 and 3,823.95

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Solution

The fourth proportional to 12,708.66, 19,062.89 and 3,823.95 is: 5,735.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,708.66 : 19,062.89 = 3,823.95 : x
  2. Step 2: Convert to fraction form
    12,708.66/19,062.89 = 3,823.95/x
  3. Step 3: Cross multiply
    12,708.66x = 19,062.89 × 3,823.95
  4. Step 4: Simplify right side
    12,708.66x = 72,895,538.22
  5. Step 5: Solve for x
    x = 72,895,538.22/12,708.66
  6. Step 6: Final answer
    x = 5,735.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.