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Finding the Fourth Proportional to 17,438.69, 24,069.22 and 11,470.95

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Solution

The fourth proportional to 17,438.69, 24,069.22 and 11,470.95 is: 15,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,438.69 : 24,069.22 = 11,470.95 : x
  2. Step 2: Convert to fraction form
    17,438.69/24,069.22 = 11,470.95/x
  3. Step 3: Cross multiply
    17,438.69x = 24,069.22 × 11,470.95
  4. Step 4: Simplify right side
    17,438.69x = 276,096,790.48
  5. Step 5: Solve for x
    x = 276,096,790.48/17,438.69
  6. Step 6: Final answer
    x = 15,832.42

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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.