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Finding the Fourth Proportional to 20,590.92, 28,415.61 and 11,159.64

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Solution

The fourth proportional to 20,590.92, 28,415.61 and 11,159.64 is: 15,400.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,590.92 : 28,415.61 = 11,159.64 : x
  2. Step 2: Convert to fraction form
    20,590.92/28,415.61 = 11,159.64/x
  3. Step 3: Cross multiply
    20,590.92x = 28,415.61 × 11,159.64
  4. Step 4: Simplify right side
    20,590.92x = 317,107,977.98
  5. Step 5: Solve for x
    x = 317,107,977.98/20,590.92
  6. Step 6: Final answer
    x = 15,400.38

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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.