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Finding the Fourth Proportional to 27,657.87, 38,158.74 and 15,716.85

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Solution

The fourth proportional to 27,657.87, 38,158.74 and 15,716.85 is: 21,684.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657.87 : 38,158.74 = 15,716.85 : x
  2. Step 2: Convert to fraction form
    27,657.87/38,158.74 = 15,716.85/x
  3. Step 3: Cross multiply
    27,657.87x = 38,158.74 × 15,716.85
  4. Step 4: Simplify right side
    27,657.87x = 599,735,192.77
  5. Step 5: Solve for x
    x = 599,735,192.77/27,657.87
  6. Step 6: Final answer
    x = 21,684.07

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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.