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Finding the Fourth Proportional to 15,151.49, 20,909.07 and 8,438.41

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Solution

The fourth proportional to 15,151.49, 20,909.07 and 8,438.41 is: 11,645.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,151.49 : 20,909.07 = 8,438.41 : x
  2. Step 2: Convert to fraction form
    15,151.49/20,909.07 = 8,438.41/x
  3. Step 3: Cross multiply
    15,151.49x = 20,909.07 × 8,438.41
  4. Step 4: Simplify right side
    15,151.49x = 176,439,305.38
  5. Step 5: Solve for x
    x = 176,439,305.38/15,151.49
  6. Step 6: Final answer
    x = 11,645.01

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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.