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Finding the Fourth Proportional to 22,274.15, 33,416 and 6,479.45

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Solution

The fourth proportional to 22,274.15, 33,416 and 6,479.45 is: 9,720.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,274.15 : 33,416 = 6,479.45 : x
  2. Step 2: Convert to fraction form
    22,274.15/33,416 = 6,479.45/x
  3. Step 3: Cross multiply
    22,274.15x = 33,416 × 6,479.45
  4. Step 4: Simplify right side
    22,274.15x = 216,517,301.20
  5. Step 5: Solve for x
    x = 216,517,301.20/22,274.15
  6. Step 6: Final answer
    x = 9,720.56

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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.