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Finding the Fourth Proportional to 20,312.91, 28,031.67 and 11,815.20

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Solution

The fourth proportional to 20,312.91, 28,031.67 and 11,815.20 is: 16,304.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,312.91 : 28,031.67 = 11,815.20 : x
  2. Step 2: Convert to fraction form
    20,312.91/28,031.67 = 11,815.20/x
  3. Step 3: Cross multiply
    20,312.91x = 28,031.67 × 11,815.20
  4. Step 4: Simplify right side
    20,312.91x = 331,199,787.38
  5. Step 5: Solve for x
    x = 331,199,787.38/20,312.91
  6. Step 6: Final answer
    x = 16,304.89

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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.