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Finding the Fourth Proportional to 17,452.38, 24,084.16 and 9,494.63

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Solution

The fourth proportional to 17,452.38, 24,084.16 and 9,494.63 is: 13,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,452.38 : 24,084.16 = 9,494.63 : x
  2. Step 2: Convert to fraction form
    17,452.38/24,084.16 = 9,494.63/x
  3. Step 3: Cross multiply
    17,452.38x = 24,084.16 × 9,494.63
  4. Step 4: Simplify right side
    17,452.38x = 228,670,140.59
  5. Step 5: Solve for x
    x = 228,670,140.59/17,452.38
  6. Step 6: Final answer
    x = 13,102.52

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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.