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Finding the Fourth Proportional to 15,309.73, 22,943.20 and 8,274.57

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Solution

The fourth proportional to 15,309.73, 22,943.20 and 8,274.57 is: 12,400.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,309.73 : 22,943.20 = 8,274.57 : x
  2. Step 2: Convert to fraction form
    15,309.73/22,943.20 = 8,274.57/x
  3. Step 3: Cross multiply
    15,309.73x = 22,943.20 × 8,274.57
  4. Step 4: Simplify right side
    15,309.73x = 189,845,114.42
  5. Step 5: Solve for x
    x = 189,845,114.42/15,309.73
  6. Step 6: Final answer
    x = 12,400.29

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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.