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Finding the Fourth Proportional to 14,792, 22,191.24 and 5,558

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Solution

The fourth proportional to 14,792, 22,191.24 and 5,558 is: 8,338.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,792 : 22,191.24 = 5,558 : x
  2. Step 2: Convert to fraction form
    14,792/22,191.24 = 5,558/x
  3. Step 3: Cross multiply
    14,792x = 22,191.24 × 5,558
  4. Step 4: Simplify right side
    14,792x = 123,338,911.92
  5. Step 5: Solve for x
    x = 123,338,911.92/14,792
  6. Step 6: Final answer
    x = 8,338.22

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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.