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Finding the Fourth Proportional to 21,716.50, 32,574.89 and 6,134.26

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Solution

The fourth proportional to 21,716.50, 32,574.89 and 6,134.26 is: 9,201.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,716.50 : 32,574.89 = 6,134.26 : x
  2. Step 2: Convert to fraction form
    21,716.50/32,574.89 = 6,134.26/x
  3. Step 3: Cross multiply
    21,716.50x = 32,574.89 × 6,134.26
  4. Step 4: Simplify right side
    21,716.50x = 199,822,814.06
  5. Step 5: Solve for x
    x = 199,822,814.06/21,716.50
  6. Step 6: Final answer
    x = 9,201.43

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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.