Home / 17,781.85-24,538.60-9,824

Finding the Fourth Proportional to 17,781.85, 24,538.60 and 9,824

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Solution

The fourth proportional to 17,781.85, 24,538.60 and 9,824 is: 13,556.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,781.85 : 24,538.60 = 9,824 : x
  2. Step 2: Convert to fraction form
    17,781.85/24,538.60 = 9,824/x
  3. Step 3: Cross multiply
    17,781.85x = 24,538.60 × 9,824
  4. Step 4: Simplify right side
    17,781.85x = 241,067,206.40
  5. Step 5: Solve for x
    x = 241,067,206.40/17,781.85
  6. Step 6: Final answer
    x = 13,556.92

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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.