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Finding the Fourth Proportional to 20,709.84, 28,605.32 and 20,398.80

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Solution

The fourth proportional to 20,709.84, 28,605.32 and 20,398.80 is: 28,175.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,709.84 : 28,605.32 = 20,398.80 : x
  2. Step 2: Convert to fraction form
    20,709.84/28,605.32 = 20,398.80/x
  3. Step 3: Cross multiply
    20,709.84x = 28,605.32 × 20,398.80
  4. Step 4: Simplify right side
    20,709.84x = 583,514,099.62
  5. Step 5: Solve for x
    x = 583,514,099.62/20,709.84
  6. Step 6: Final answer
    x = 28,175.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.