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Finding the Fourth Proportional to 21,958.25, 32,932.45 and 10,100.64

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Solution

The fourth proportional to 21,958.25, 32,932.45 and 10,100.64 is: 15,148.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,958.25 : 32,932.45 = 10,100.64 : x
  2. Step 2: Convert to fraction form
    21,958.25/32,932.45 = 10,100.64/x
  3. Step 3: Cross multiply
    21,958.25x = 32,932.45 × 10,100.64
  4. Step 4: Simplify right side
    21,958.25x = 332,638,657.11
  5. Step 5: Solve for x
    x = 332,638,657.11/21,958.25
  6. Step 6: Final answer
    x = 15,148.69

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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.