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Finding the Fourth Proportional to 21,865.38, 30,171.78 and 12,303.42

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Solution

The fourth proportional to 21,865.38, 30,171.78 and 12,303.42 is: 16,977.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,865.38 : 30,171.78 = 12,303.42 : x
  2. Step 2: Convert to fraction form
    21,865.38/30,171.78 = 12,303.42/x
  3. Step 3: Cross multiply
    21,865.38x = 30,171.78 × 12,303.42
  4. Step 4: Simplify right side
    21,865.38x = 371,216,081.49
  5. Step 5: Solve for x
    x = 371,216,081.49/21,865.38
  6. Step 6: Final answer
    x = 16,977.34

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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.