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Finding the Fourth Proportional to 20,590.89, 30,886.84 and 5,799.71

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Solution

The fourth proportional to 20,590.89, 30,886.84 and 5,799.71 is: 8,699.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,590.89 : 30,886.84 = 5,799.71 : x
  2. Step 2: Convert to fraction form
    20,590.89/30,886.84 = 5,799.71/x
  3. Step 3: Cross multiply
    20,590.89x = 30,886.84 × 5,799.71
  4. Step 4: Simplify right side
    20,590.89x = 179,134,714.82
  5. Step 5: Solve for x
    x = 179,134,714.82/20,590.89
  6. Step 6: Final answer
    x = 8,699.71

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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.