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Finding the Fourth Proportional to 20,803.81, 31,204.50 and 6,012.40

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Solution

The fourth proportional to 20,803.81, 31,204.50 and 6,012.40 is: 9,018.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,803.81 : 31,204.50 = 6,012.40 : x
  2. Step 2: Convert to fraction form
    20,803.81/31,204.50 = 6,012.40/x
  3. Step 3: Cross multiply
    20,803.81x = 31,204.50 × 6,012.40
  4. Step 4: Simplify right side
    20,803.81x = 187,613,835.24
  5. Step 5: Solve for x
    x = 187,613,835.24/20,803.81
  6. Step 6: Final answer
    x = 9,018.25

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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.