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Finding the Fourth Proportional to 21,516.81, 32,274.41 and 5,934.03

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Solution

The fourth proportional to 21,516.81, 32,274.41 and 5,934.03 is: 8,900.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,516.81 : 32,274.41 = 5,934.03 : x
  2. Step 2: Convert to fraction form
    21,516.81/32,274.41 = 5,934.03/x
  3. Step 3: Cross multiply
    21,516.81x = 32,274.41 × 5,934.03
  4. Step 4: Simplify right side
    21,516.81x = 191,517,287.50
  5. Step 5: Solve for x
    x = 191,517,287.50/21,516.81
  6. Step 6: Final answer
    x = 8,900.82

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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.