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Finding the Fourth Proportional to 21,775.28, 30,049.35 and 12,702.38

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Solution

The fourth proportional to 21,775.28, 30,049.35 and 12,702.38 is: 17,528.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,775.28 : 30,049.35 = 12,702.38 : x
  2. Step 2: Convert to fraction form
    21,775.28/30,049.35 = 12,702.38/x
  3. Step 3: Cross multiply
    21,775.28x = 30,049.35 × 12,702.38
  4. Step 4: Simplify right side
    21,775.28x = 381,698,262.45
  5. Step 5: Solve for x
    x = 381,698,262.45/21,775.28
  6. Step 6: Final answer
    x = 17,528.97

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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.