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Finding the Fourth Proportional to 14,912.54, 22,369.49 and 10,549.50

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Solution

The fourth proportional to 14,912.54, 22,369.49 and 10,549.50 is: 15,824.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,912.54 : 22,369.49 = 10,549.50 : x
  2. Step 2: Convert to fraction form
    14,912.54/22,369.49 = 10,549.50/x
  3. Step 3: Cross multiply
    14,912.54x = 22,369.49 × 10,549.50
  4. Step 4: Simplify right side
    14,912.54x = 235,986,934.76
  5. Step 5: Solve for x
    x = 235,986,934.76/14,912.54
  6. Step 6: Final answer
    x = 15,824.73

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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.