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Finding the Fourth Proportional to 19,482, 29,223.54 and 5,631

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Solution

The fourth proportional to 19,482, 29,223.54 and 5,631 is: 8,446.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,482 : 29,223.54 = 5,631 : x
  2. Step 2: Convert to fraction form
    19,482/29,223.54 = 5,631/x
  3. Step 3: Cross multiply
    19,482x = 29,223.54 × 5,631
  4. Step 4: Simplify right side
    19,482x = 164,557,753.74
  5. Step 5: Solve for x
    x = 164,557,753.74/19,482
  6. Step 6: Final answer
    x = 8,446.66

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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.