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Finding the Fourth Proportional to 22,134.42, 30,544.36 and 12,702.38

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Solution

The fourth proportional to 22,134.42, 30,544.36 and 12,702.38 is: 17,528.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,134.42 : 30,544.36 = 12,702.38 : x
  2. Step 2: Convert to fraction form
    22,134.42/30,544.36 = 12,702.38/x
  3. Step 3: Cross multiply
    22,134.42x = 30,544.36 × 12,702.38
  4. Step 4: Simplify right side
    22,134.42x = 387,985,883.10
  5. Step 5: Solve for x
    x = 387,985,883.10/22,134.42
  6. Step 6: Final answer
    x = 17,528.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.