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Finding the Fourth Proportional to 15,728.97, 23,594.28 and 5,056.20

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Solution

The fourth proportional to 15,728.97, 23,594.28 and 5,056.20 is: 7,584.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,728.97 : 23,594.28 = 5,056.20 : x
  2. Step 2: Convert to fraction form
    15,728.97/23,594.28 = 5,056.20/x
  3. Step 3: Cross multiply
    15,728.97x = 23,594.28 × 5,056.20
  4. Step 4: Simplify right side
    15,728.97x = 119,297,398.54
  5. Step 5: Solve for x
    x = 119,297,398.54/15,728.97
  6. Step 6: Final answer
    x = 7,584.57

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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.