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Finding the Fourth Proportional to 21,169.49, 31,742.87 and 7,124.83

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Solution

The fourth proportional to 21,169.49, 31,742.87 and 7,124.83 is: 10,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,169.49 : 31,742.87 = 7,124.83 : x
  2. Step 2: Convert to fraction form
    21,169.49/31,742.87 = 7,124.83/x
  3. Step 3: Cross multiply
    21,169.49x = 31,742.87 × 7,124.83
  4. Step 4: Simplify right side
    21,169.49x = 226,162,437.48
  5. Step 5: Solve for x
    x = 226,162,437.48/21,169.49
  6. Step 6: Final answer
    x = 10,683.42

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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.