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Finding the Fourth Proportional to 17,501.62, 24,151.80 and 9,544

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Solution

The fourth proportional to 17,501.62, 24,151.80 and 9,544 is: 13,170.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,501.62 : 24,151.80 = 9,544 : x
  2. Step 2: Convert to fraction form
    17,501.62/24,151.80 = 9,544/x
  3. Step 3: Cross multiply
    17,501.62x = 24,151.80 × 9,544
  4. Step 4: Simplify right side
    17,501.62x = 230,504,779.20
  5. Step 5: Solve for x
    x = 230,504,779.20/17,501.62
  6. Step 6: Final answer
    x = 13,170.48

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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.