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Finding the Fourth Proportional to 22,159.32, 30,578.74 and 12,087.68

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Solution

The fourth proportional to 22,159.32, 30,578.74 and 12,087.68 is: 16,680.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,159.32 : 30,578.74 = 12,087.68 : x
  2. Step 2: Convert to fraction form
    22,159.32/30,578.74 = 12,087.68/x
  3. Step 3: Cross multiply
    22,159.32x = 30,578.74 × 12,087.68
  4. Step 4: Simplify right side
    22,159.32x = 369,626,046.81
  5. Step 5: Solve for x
    x = 369,626,046.81/22,159.32
  6. Step 6: Final answer
    x = 16,680.39

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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.