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Finding the Fourth Proportional to 15,816, 23,724.04 and 5,428.56

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Solution

The fourth proportional to 15,816, 23,724.04 and 5,428.56 is: 8,142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,816 : 23,724.04 = 5,428.56 : x
  2. Step 2: Convert to fraction form
    15,816/23,724.04 = 5,428.56/x
  3. Step 3: Cross multiply
    15,816x = 23,724.04 × 5,428.56
  4. Step 4: Simplify right side
    15,816x = 128,787,374.58
  5. Step 5: Solve for x
    x = 128,787,374.58/15,816
  6. Step 6: Final answer
    x = 8,142.85

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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.