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Finding the Fourth Proportional to 16,578.38, 22,880.94 and 10,609.76

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Solution

The fourth proportional to 16,578.38, 22,880.94 and 10,609.76 is: 14,643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.38 : 22,880.94 = 10,609.76 : x
  2. Step 2: Convert to fraction form
    16,578.38/22,880.94 = 10,609.76/x
  3. Step 3: Cross multiply
    16,578.38x = 22,880.94 × 10,609.76
  4. Step 4: Simplify right side
    16,578.38x = 242,761,281.97
  5. Step 5: Solve for x
    x = 242,761,281.97/16,578.38
  6. Step 6: Final answer
    x = 14,643.25

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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.