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Finding the Fourth Proportional to 15,872.80, 23,778.96 and 9,859.36

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Solution

The fourth proportional to 15,872.80, 23,778.96 and 9,859.36 is: 14,770.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872.80 : 23,778.96 = 9,859.36 : x
  2. Step 2: Convert to fraction form
    15,872.80/23,778.96 = 9,859.36/x
  3. Step 3: Cross multiply
    15,872.80x = 23,778.96 × 9,859.36
  4. Step 4: Simplify right side
    15,872.80x = 234,445,327.07
  5. Step 5: Solve for x
    x = 234,445,327.07/15,872.80
  6. Step 6: Final answer
    x = 14,770.26

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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.