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Finding the Fourth Proportional to 15,712.94, 23,573.25 and 5,324.78

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Solution

The fourth proportional to 15,712.94, 23,573.25 and 5,324.78 is: 7,988.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712.94 : 23,573.25 = 5,324.78 : x
  2. Step 2: Convert to fraction form
    15,712.94/23,573.25 = 5,324.78/x
  3. Step 3: Cross multiply
    15,712.94x = 23,573.25 × 5,324.78
  4. Step 4: Simplify right side
    15,712.94x = 125,522,370.14
  5. Step 5: Solve for x
    x = 125,522,370.14/15,712.94
  6. Step 6: Final answer
    x = 7,988.47

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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.