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Finding the Fourth Proportional to 21,107.88, 31,663.64 and 5,525.50

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Solution

The fourth proportional to 21,107.88, 31,663.64 and 5,525.50 is: 8,288.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,107.88 : 31,663.64 = 5,525.50 : x
  2. Step 2: Convert to fraction form
    21,107.88/31,663.64 = 5,525.50/x
  3. Step 3: Cross multiply
    21,107.88x = 31,663.64 × 5,525.50
  4. Step 4: Simplify right side
    21,107.88x = 174,957,442.82
  5. Step 5: Solve for x
    x = 174,957,442.82/21,107.88
  6. Step 6: Final answer
    x = 8,288.73

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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.