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Finding the Fourth Proportional to 21,286.34, 31,927.54 and 10,039.10

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Solution

The fourth proportional to 21,286.34, 31,927.54 and 10,039.10 is: 15,057.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,286.34 : 31,927.54 = 10,039.10 : x
  2. Step 2: Convert to fraction form
    21,286.34/31,927.54 = 10,039.10/x
  3. Step 3: Cross multiply
    21,286.34x = 31,927.54 × 10,039.10
  4. Step 4: Simplify right side
    21,286.34x = 320,523,766.81
  5. Step 5: Solve for x
    x = 320,523,766.81/21,286.34
  6. Step 6: Final answer
    x = 15,057.72

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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.