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Finding the Fourth Proportional to 15,841.21, 23,758.80 and 4,747.90

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Solution

The fourth proportional to 15,841.21, 23,758.80 and 4,747.90 is: 7,120.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,841.21 : 23,758.80 = 4,747.90 : x
  2. Step 2: Convert to fraction form
    15,841.21/23,758.80 = 4,747.90/x
  3. Step 3: Cross multiply
    15,841.21x = 23,758.80 × 4,747.90
  4. Step 4: Simplify right side
    15,841.21x = 112,804,382.78
  5. Step 5: Solve for x
    x = 112,804,382.78/15,841.21
  6. Step 6: Final answer
    x = 7,120.94

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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.