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Finding the Fourth Proportional to 17,494.38, 24,142.32 and 11,210.40

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Solution

The fourth proportional to 17,494.38, 24,142.32 and 11,210.40 is: 15,470.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,494.38 : 24,142.32 = 11,210.40 : x
  2. Step 2: Convert to fraction form
    17,494.38/24,142.32 = 11,210.40/x
  3. Step 3: Cross multiply
    17,494.38x = 24,142.32 × 11,210.40
  4. Step 4: Simplify right side
    17,494.38x = 270,645,064.13
  5. Step 5: Solve for x
    x = 270,645,064.13/17,494.38
  6. Step 6: Final answer
    x = 15,470.40

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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.