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Finding the Fourth Proportional to 22,149.38, 30,568.74 and 12,590.70

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Solution

The fourth proportional to 22,149.38, 30,568.74 and 12,590.70 is: 17,376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,149.38 : 30,568.74 = 12,590.70 : x
  2. Step 2: Convert to fraction form
    22,149.38/30,568.74 = 12,590.70/x
  3. Step 3: Cross multiply
    22,149.38x = 30,568.74 × 12,590.70
  4. Step 4: Simplify right side
    22,149.38x = 384,881,834.72
  5. Step 5: Solve for x
    x = 384,881,834.72/22,149.38
  6. Step 6: Final answer
    x = 17,376.64

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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.