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Finding the Fourth Proportional to 20,582.26, 30,878.52 and 9,496.68

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Solution

The fourth proportional to 20,582.26, 30,878.52 and 9,496.68 is: 14,247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,582.26 : 30,878.52 = 9,496.68 : x
  2. Step 2: Convert to fraction form
    20,582.26/30,878.52 = 9,496.68/x
  3. Step 3: Cross multiply
    20,582.26x = 30,878.52 × 9,496.68
  4. Step 4: Simplify right side
    20,582.26x = 293,243,423.31
  5. Step 5: Solve for x
    x = 293,243,423.31/20,582.26
  6. Step 6: Final answer
    x = 14,247.39

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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.