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Finding the Fourth Proportional to 16,157.80, 24,241.38 and 5,770.36

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Solution

The fourth proportional to 16,157.80, 24,241.38 and 5,770.36 is: 8,657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,157.80 : 24,241.38 = 5,770.36 : x
  2. Step 2: Convert to fraction form
    16,157.80/24,241.38 = 5,770.36/x
  3. Step 3: Cross multiply
    16,157.80x = 24,241.38 × 5,770.36
  4. Step 4: Simplify right side
    16,157.80x = 139,881,489.50
  5. Step 5: Solve for x
    x = 139,881,489.50/16,157.80
  6. Step 6: Final answer
    x = 8,657.21

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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.