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Finding the Fourth Proportional to 21,104.88, 31,659.14 and 5,522.50

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Solution

The fourth proportional to 21,104.88, 31,659.14 and 5,522.50 is: 8,284.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,104.88 : 31,659.14 = 5,522.50 : x
  2. Step 2: Convert to fraction form
    21,104.88/31,659.14 = 5,522.50/x
  3. Step 3: Cross multiply
    21,104.88x = 31,659.14 × 5,522.50
  4. Step 4: Simplify right side
    21,104.88x = 174,837,600.65
  5. Step 5: Solve for x
    x = 174,837,600.65/21,104.88
  6. Step 6: Final answer
    x = 8,284.23

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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.