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Finding the Fourth Proportional to 20,392.62, 28,140.57 and 11,438.46

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Solution

The fourth proportional to 20,392.62, 28,140.57 and 11,438.46 is: 15,784.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,392.62 : 28,140.57 = 11,438.46 : x
  2. Step 2: Convert to fraction form
    20,392.62/28,140.57 = 11,438.46/x
  3. Step 3: Cross multiply
    20,392.62x = 28,140.57 × 11,438.46
  4. Step 4: Simplify right side
    20,392.62x = 321,884,784.32
  5. Step 5: Solve for x
    x = 321,884,784.32/20,392.62
  6. Step 6: Final answer
    x = 15,784.38

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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.