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Finding the Fourth Proportional to 15,209.82, 22,766.93 and 9,669.42

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Solution

The fourth proportional to 15,209.82, 22,766.93 and 9,669.42 is: 14,473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,209.82 : 22,766.93 = 9,669.42 : x
  2. Step 2: Convert to fraction form
    15,209.82/22,766.93 = 9,669.42/x
  3. Step 3: Cross multiply
    15,209.82x = 22,766.93 × 9,669.42
  4. Step 4: Simplify right side
    15,209.82x = 220,142,846.10
  5. Step 5: Solve for x
    x = 220,142,846.10/15,209.82
  6. Step 6: Final answer
    x = 14,473.74

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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.