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Finding the Fourth Proportional to 17,494.22, 24,144.54 and 10,420.76

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Solution

The fourth proportional to 17,494.22, 24,144.54 and 10,420.76 is: 14,382.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,494.22 : 24,144.54 = 10,420.76 : x
  2. Step 2: Convert to fraction form
    17,494.22/24,144.54 = 10,420.76/x
  3. Step 3: Cross multiply
    17,494.22x = 24,144.54 × 10,420.76
  4. Step 4: Simplify right side
    17,494.22x = 251,604,456.65
  5. Step 5: Solve for x
    x = 251,604,456.65/17,494.22
  6. Step 6: Final answer
    x = 14,382.15

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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.