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Finding the Fourth Proportional to 21,508.68, 29,683.46 and 12,077.96

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Solution

The fourth proportional to 21,508.68, 29,683.46 and 12,077.96 is: 16,668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,508.68 : 29,683.46 = 12,077.96 : x
  2. Step 2: Convert to fraction form
    21,508.68/29,683.46 = 12,077.96/x
  3. Step 3: Cross multiply
    21,508.68x = 29,683.46 × 12,077.96
  4. Step 4: Simplify right side
    21,508.68x = 358,515,642.54
  5. Step 5: Solve for x
    x = 358,515,642.54/21,508.68
  6. Step 6: Final answer
    x = 16,668.42

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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.