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Finding the Fourth Proportional to 17,230.52, 23,778.12 and 9,778.52

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Solution

The fourth proportional to 17,230.52, 23,778.12 and 9,778.52 is: 13,494.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,230.52 : 23,778.12 = 9,778.52 : x
  2. Step 2: Convert to fraction form
    17,230.52/23,778.12 = 9,778.52/x
  3. Step 3: Cross multiply
    17,230.52x = 23,778.12 × 9,778.52
  4. Step 4: Simplify right side
    17,230.52x = 232,514,821.98
  5. Step 5: Solve for x
    x = 232,514,821.98/17,230.52
  6. Step 6: Final answer
    x = 13,494.36

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1.5x scale

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.