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Finding the Fourth Proportional to 15,941.80, 22,001.42 and 9,227.32

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Solution

The fourth proportional to 15,941.80, 22,001.42 and 9,227.32 is: 12,734.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,941.80 : 22,001.42 = 9,227.32 : x
  2. Step 2: Convert to fraction form
    15,941.80/22,001.42 = 9,227.32/x
  3. Step 3: Cross multiply
    15,941.80x = 22,001.42 × 9,227.32
  4. Step 4: Simplify right side
    15,941.80x = 203,014,142.79
  5. Step 5: Solve for x
    x = 203,014,142.79/15,941.80
  6. Step 6: Final answer
    x = 12,734.71

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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.