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Finding the Fourth Proportional to 20,803.52, 28,711.55 and 11,854.24

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Solution

The fourth proportional to 20,803.52, 28,711.55 and 11,854.24 is: 16,360.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,803.52 : 28,711.55 = 11,854.24 : x
  2. Step 2: Convert to fraction form
    20,803.52/28,711.55 = 11,854.24/x
  3. Step 3: Cross multiply
    20,803.52x = 28,711.55 × 11,854.24
  4. Step 4: Simplify right side
    20,803.52x = 340,353,604.47
  5. Step 5: Solve for x
    x = 340,353,604.47/20,803.52
  6. Step 6: Final answer
    x = 16,360.39

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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.