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Finding the Fourth Proportional to 21,811.52, 30,101.40 and 12,122.15

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Solution

The fourth proportional to 21,811.52, 30,101.40 and 12,122.15 is: 16,729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,811.52 : 30,101.40 = 12,122.15 : x
  2. Step 2: Convert to fraction form
    21,811.52/30,101.40 = 12,122.15/x
  3. Step 3: Cross multiply
    21,811.52x = 30,101.40 × 12,122.15
  4. Step 4: Simplify right side
    21,811.52x = 364,893,535.50
  5. Step 5: Solve for x
    x = 364,893,535.50/21,811.52
  6. Step 6: Final answer
    x = 16,729.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.