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Finding the Fourth Proportional to 22,176.72, 33,255.36 and 8,316

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Solution

The fourth proportional to 22,176.72, 33,255.36 and 8,316 is: 12,470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,176.72 : 33,255.36 = 8,316 : x
  2. Step 2: Convert to fraction form
    22,176.72/33,255.36 = 8,316/x
  3. Step 3: Cross multiply
    22,176.72x = 33,255.36 × 8,316
  4. Step 4: Simplify right side
    22,176.72x = 276,551,573.76
  5. Step 5: Solve for x
    x = 276,551,573.76/22,176.72
  6. Step 6: Final answer
    x = 12,470.36

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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.