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Finding the Fourth Proportional to 20,544, 28,348.27 and 11,590.98

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Solution

The fourth proportional to 20,544, 28,348.27 and 11,590.98 is: 15,994.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,544 : 28,348.27 = 11,590.98 : x
  2. Step 2: Convert to fraction form
    20,544/28,348.27 = 11,590.98/x
  3. Step 3: Cross multiply
    20,544x = 28,348.27 × 11,590.98
  4. Step 4: Simplify right side
    20,544x = 328,584,230.60
  5. Step 5: Solve for x
    x = 328,584,230.60/20,544
  6. Step 6: Final answer
    x = 15,994.17

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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.