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Finding the Fourth Proportional to 17,493.96, 24,135.90 and 10,419.42

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Solution

The fourth proportional to 17,493.96, 24,135.90 and 10,419.42 is: 14,375.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,493.96 : 24,135.90 = 10,419.42 : x
  2. Step 2: Convert to fraction form
    17,493.96/24,135.90 = 10,419.42/x
  3. Step 3: Cross multiply
    17,493.96x = 24,135.90 × 10,419.42
  4. Step 4: Simplify right side
    17,493.96x = 251,482,079.18
  5. Step 5: Solve for x
    x = 251,482,079.18/17,493.96
  6. Step 6: Final answer
    x = 14,375.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.