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Finding the Fourth Proportional to 27,651.98, 38,158.10 and 15,713.66

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Solution

The fourth proportional to 27,651.98, 38,158.10 and 15,713.66 is: 21,683.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,651.98 : 38,158.10 = 15,713.66 : x
  2. Step 2: Convert to fraction form
    27,651.98/38,158.10 = 15,713.66/x
  3. Step 3: Cross multiply
    27,651.98x = 38,158.10 × 15,713.66
  4. Step 4: Simplify right side
    27,651.98x = 599,603,409.65
  5. Step 5: Solve for x
    x = 599,603,409.65/27,651.98
  6. Step 6: Final answer
    x = 21,683.92

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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.