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Finding the Fourth Proportional to 22,992.25, 34,459.52 and 9,829.15

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Solution

The fourth proportional to 22,992.25, 34,459.52 and 9,829.15 is: 14,731.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,992.25 : 34,459.52 = 9,829.15 : x
  2. Step 2: Convert to fraction form
    22,992.25/34,459.52 = 9,829.15/x
  3. Step 3: Cross multiply
    22,992.25x = 34,459.52 × 9,829.15
  4. Step 4: Simplify right side
    22,992.25x = 338,707,791.01
  5. Step 5: Solve for x
    x = 338,707,791.01/22,992.25
  6. Step 6: Final answer
    x = 14,731.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.