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Finding the Fourth Proportional to 22,288, 33,433.62 and 8,437

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Solution

The fourth proportional to 22,288, 33,433.62 and 8,437 is: 12,656.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,288 : 33,433.62 = 8,437 : x
  2. Step 2: Convert to fraction form
    22,288/33,433.62 = 8,437/x
  3. Step 3: Cross multiply
    22,288x = 33,433.62 × 8,437
  4. Step 4: Simplify right side
    22,288x = 282,079,451.94
  5. Step 5: Solve for x
    x = 282,079,451.94/22,288
  6. Step 6: Final answer
    x = 12,656.11

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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.