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Finding the Fourth Proportional to 14,613, 21,907.20 and 5,843.13

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Solution

The fourth proportional to 14,613, 21,907.20 and 5,843.13 is: 8,759.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,613 : 21,907.20 = 5,843.13 : x
  2. Step 2: Convert to fraction form
    14,613/21,907.20 = 5,843.13/x
  3. Step 3: Cross multiply
    14,613x = 21,907.20 × 5,843.13
  4. Step 4: Simplify right side
    14,613x = 128,006,617.54
  5. Step 5: Solve for x
    x = 128,006,617.54/14,613
  6. Step 6: Final answer
    x = 8,759.78

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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.