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Finding the Fourth Proportional to 15,819.88, 23,739 and 6,458.44

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Solution

The fourth proportional to 15,819.88, 23,739 and 6,458.44 is: 9,691.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,819.88 : 23,739 = 6,458.44 : x
  2. Step 2: Convert to fraction form
    15,819.88/23,739 = 6,458.44/x
  3. Step 3: Cross multiply
    15,819.88x = 23,739 × 6,458.44
  4. Step 4: Simplify right side
    15,819.88x = 153,316,907.16
  5. Step 5: Solve for x
    x = 153,316,907.16/15,819.88
  6. Step 6: Final answer
    x = 9,691.41

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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.