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Finding the Fourth Proportional to 17,549.74, 24,220.50 and 10,382.05

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Solution

The fourth proportional to 17,549.74, 24,220.50 and 10,382.05 is: 14,328.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,549.74 : 24,220.50 = 10,382.05 : x
  2. Step 2: Convert to fraction form
    17,549.74/24,220.50 = 10,382.05/x
  3. Step 3: Cross multiply
    17,549.74x = 24,220.50 × 10,382.05
  4. Step 4: Simplify right side
    17,549.74x = 251,458,442.03
  5. Step 5: Solve for x
    x = 251,458,442.03/17,549.74
  6. Step 6: Final answer
    x = 14,328.33

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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.