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Finding the Fourth Proportional to 14,432.54, 19,922.17 and 8,469.19

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Solution

The fourth proportional to 14,432.54, 19,922.17 and 8,469.19 is: 11,690.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,432.54 : 19,922.17 = 8,469.19 : x
  2. Step 2: Convert to fraction form
    14,432.54/19,922.17 = 8,469.19/x
  3. Step 3: Cross multiply
    14,432.54x = 19,922.17 × 8,469.19
  4. Step 4: Simplify right side
    14,432.54x = 168,724,543.33
  5. Step 5: Solve for x
    x = 168,724,543.33/14,432.54
  6. Step 6: Final answer
    x = 11,690.56

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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.