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Finding the Fourth Proportional to 16,259, 24,388.56 and 3,947

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Solution

The fourth proportional to 16,259, 24,388.56 and 3,947 is: 5,920.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,259 : 24,388.56 = 3,947 : x
  2. Step 2: Convert to fraction form
    16,259/24,388.56 = 3,947/x
  3. Step 3: Cross multiply
    16,259x = 24,388.56 × 3,947
  4. Step 4: Simplify right side
    16,259x = 96,261,646.32
  5. Step 5: Solve for x
    x = 96,261,646.32/16,259
  6. Step 6: Final answer
    x = 5,920.51

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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.