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Finding the Fourth Proportional to 17,561.08, 24,231.90 and 10,486

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Solution

The fourth proportional to 17,561.08, 24,231.90 and 10,486 is: 14,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,561.08 : 24,231.90 = 10,486 : x
  2. Step 2: Convert to fraction form
    17,561.08/24,231.90 = 10,486/x
  3. Step 3: Cross multiply
    17,561.08x = 24,231.90 × 10,486
  4. Step 4: Simplify right side
    17,561.08x = 254,095,703.40
  5. Step 5: Solve for x
    x = 254,095,703.40/17,561.08
  6. Step 6: Final answer
    x = 14,469.25

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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.