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Finding the Fourth Proportional to 15,864, 23,799.39 and 4,769.76

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Solution

The fourth proportional to 15,864, 23,799.39 and 4,769.76 is: 7,155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,864 : 23,799.39 = 4,769.76 : x
  2. Step 2: Convert to fraction form
    15,864/23,799.39 = 4,769.76/x
  3. Step 3: Cross multiply
    15,864x = 23,799.39 × 4,769.76
  4. Step 4: Simplify right side
    15,864x = 113,517,378.45
  5. Step 5: Solve for x
    x = 113,517,378.45/15,864
  6. Step 6: Final answer
    x = 7,155.66

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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.