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Finding the Fourth Proportional to 22,164, 33,246 and 8,303.28

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Solution

The fourth proportional to 22,164, 33,246 and 8,303.28 is: 12,454.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,164 : 33,246 = 8,303.28 : x
  2. Step 2: Convert to fraction form
    22,164/33,246 = 8,303.28/x
  3. Step 3: Cross multiply
    22,164x = 33,246 × 8,303.28
  4. Step 4: Simplify right side
    22,164x = 276,050,846.88
  5. Step 5: Solve for x
    x = 276,050,846.88/22,164
  6. Step 6: Final answer
    x = 12,454.92

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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.