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Finding the Fourth Proportional to 24,157.68, 36,219.24 and 9,354

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Solution

The fourth proportional to 24,157.68, 36,219.24 and 9,354 is: 14,024.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,157.68 : 36,219.24 = 9,354 : x
  2. Step 2: Convert to fraction form
    24,157.68/36,219.24 = 9,354/x
  3. Step 3: Cross multiply
    24,157.68x = 36,219.24 × 9,354
  4. Step 4: Simplify right side
    24,157.68x = 338,794,770.96
  5. Step 5: Solve for x
    x = 338,794,770.96/24,157.68
  6. Step 6: Final answer
    x = 14,024.31

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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.