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Finding the Fourth Proportional to 20,590.85, 30,886.28 and 12,814.85

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Solution

The fourth proportional to 20,590.85, 30,886.28 and 12,814.85 is: 19,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,590.85 : 30,886.28 = 12,814.85 : x
  2. Step 2: Convert to fraction form
    20,590.85/30,886.28 = 12,814.85/x
  3. Step 3: Cross multiply
    20,590.85x = 30,886.28 × 12,814.85
  4. Step 4: Simplify right side
    20,590.85x = 395,802,981.18
  5. Step 5: Solve for x
    x = 395,802,981.18/20,590.85
  6. Step 6: Final answer
    x = 19,222.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.