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Finding the Fourth Proportional to 14,614, 21,908.70 and 5,844.13

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Solution

The fourth proportional to 14,614, 21,908.70 and 5,844.13 is: 8,761.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,614 : 21,908.70 = 5,844.13 : x
  2. Step 2: Convert to fraction form
    14,614/21,908.70 = 5,844.13/x
  3. Step 3: Cross multiply
    14,614x = 21,908.70 × 5,844.13
  4. Step 4: Simplify right side
    14,614x = 128,037,290.93
  5. Step 5: Solve for x
    x = 128,037,290.93/14,614
  6. Step 6: Final answer
    x = 8,761.28

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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.