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Finding the Fourth Proportional to 12,207.16, 18,302.22 and 5,624.28

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Solution

The fourth proportional to 12,207.16, 18,302.22 and 5,624.28 is: 8,432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.16 : 18,302.22 = 5,624.28 : x
  2. Step 2: Convert to fraction form
    12,207.16/18,302.22 = 5,624.28/x
  3. Step 3: Cross multiply
    12,207.16x = 18,302.22 × 5,624.28
  4. Step 4: Simplify right side
    12,207.16x = 102,936,809.90
  5. Step 5: Solve for x
    x = 102,936,809.90/12,207.16
  6. Step 6: Final answer
    x = 8,432.49

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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.