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Finding the Fourth Proportional to 15,841.47, 23,765.31 and 4,747.32

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Solution

The fourth proportional to 15,841.47, 23,765.31 and 4,747.32 is: 7,121.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,841.47 : 23,765.31 = 4,747.32 : x
  2. Step 2: Convert to fraction form
    15,841.47/23,765.31 = 4,747.32/x
  3. Step 3: Cross multiply
    15,841.47x = 23,765.31 × 4,747.32
  4. Step 4: Simplify right side
    15,841.47x = 112,821,531.47
  5. Step 5: Solve for x
    x = 112,821,531.47/15,841.47
  6. Step 6: Final answer
    x = 7,121.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.