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Finding the Fourth Proportional to 21,722.50, 32,584.11 and 8,574.76

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Solution

The fourth proportional to 21,722.50, 32,584.11 and 8,574.76 is: 12,862.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,722.50 : 32,584.11 = 8,574.76 : x
  2. Step 2: Convert to fraction form
    21,722.50/32,584.11 = 8,574.76/x
  3. Step 3: Cross multiply
    21,722.50x = 32,584.11 × 8,574.76
  4. Step 4: Simplify right side
    21,722.50x = 279,400,923.06
  5. Step 5: Solve for x
    x = 279,400,923.06/21,722.50
  6. Step 6: Final answer
    x = 12,862.28

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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.