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Finding the Fourth Proportional to 21,126, 31,683.96 and 7,086.52

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Solution

The fourth proportional to 21,126, 31,683.96 and 7,086.52 is: 10,628.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,126 : 31,683.96 = 7,086.52 : x
  2. Step 2: Convert to fraction form
    21,126/31,683.96 = 7,086.52/x
  3. Step 3: Cross multiply
    21,126x = 31,683.96 × 7,086.52
  4. Step 4: Simplify right side
    21,126x = 224,529,016.22
  5. Step 5: Solve for x
    x = 224,529,016.22/21,126
  6. Step 6: Final answer
    x = 10,628.09

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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.