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Finding the Fourth Proportional to 17,493.59, 24,141.81 and 9,941.20

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Solution

The fourth proportional to 17,493.59, 24,141.81 and 9,941.20 is: 13,719.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,493.59 : 24,141.81 = 9,941.20 : x
  2. Step 2: Convert to fraction form
    17,493.59/24,141.81 = 9,941.20/x
  3. Step 3: Cross multiply
    17,493.59x = 24,141.81 × 9,941.20
  4. Step 4: Simplify right side
    17,493.59x = 239,998,618.38
  5. Step 5: Solve for x
    x = 239,998,618.38/17,493.59
  6. Step 6: Final answer
    x = 13,719.23

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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.