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Finding the Fourth Proportional to 17,751.16, 24,496.14 and 9,793

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Solution

The fourth proportional to 17,751.16, 24,496.14 and 9,793 is: 13,514.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,751.16 : 24,496.14 = 9,793 : x
  2. Step 2: Convert to fraction form
    17,751.16/24,496.14 = 9,793/x
  3. Step 3: Cross multiply
    17,751.16x = 24,496.14 × 9,793
  4. Step 4: Simplify right side
    17,751.16x = 239,890,699.02
  5. Step 5: Solve for x
    x = 239,890,699.02/17,751.16
  6. Step 6: Final answer
    x = 13,514.09

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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.