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Finding the Fourth Proportional to 20,573.14, 30,860.86 and 5,780.91

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Solution

The fourth proportional to 20,573.14, 30,860.86 and 5,780.91 is: 8,671.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,573.14 : 30,860.86 = 5,780.91 : x
  2. Step 2: Convert to fraction form
    20,573.14/30,860.86 = 5,780.91/x
  3. Step 3: Cross multiply
    20,573.14x = 30,860.86 × 5,780.91
  4. Step 4: Simplify right side
    20,573.14x = 178,403,854.18
  5. Step 5: Solve for x
    x = 178,403,854.18/20,573.14
  6. Step 6: Final answer
    x = 8,671.69

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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.