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Finding the Fourth Proportional to 15,739, 23,612.56 and 5,878.34

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Solution

The fourth proportional to 15,739, 23,612.56 and 5,878.34 is: 8,819.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,739 : 23,612.56 = 5,878.34 : x
  2. Step 2: Convert to fraction form
    15,739/23,612.56 = 5,878.34/x
  3. Step 3: Cross multiply
    15,739x = 23,612.56 × 5,878.34
  4. Step 4: Simplify right side
    15,739x = 138,802,655.95
  5. Step 5: Solve for x
    x = 138,802,655.95/15,739
  6. Step 6: Final answer
    x = 8,819.03

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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.