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Finding the Fourth Proportional to 14,266, 21,387.42 and 5,952.24

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Solution

The fourth proportional to 14,266, 21,387.42 and 5,952.24 is: 8,923.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,266 : 21,387.42 = 5,952.24 : x
  2. Step 2: Convert to fraction form
    14,266/21,387.42 = 5,952.24/x
  3. Step 3: Cross multiply
    14,266x = 21,387.42 × 5,952.24
  4. Step 4: Simplify right side
    14,266x = 127,303,056.82
  5. Step 5: Solve for x
    x = 127,303,056.82/14,266
  6. Step 6: Final answer
    x = 8,923.53

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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.