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Finding the Fourth Proportional to 21,077.34, 31,621.16 and 6,286.20

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Solution

The fourth proportional to 21,077.34, 31,621.16 and 6,286.20 is: 9,430.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,077.34 : 31,621.16 = 6,286.20 : x
  2. Step 2: Convert to fraction form
    21,077.34/31,621.16 = 6,286.20/x
  3. Step 3: Cross multiply
    21,077.34x = 31,621.16 × 6,286.20
  4. Step 4: Simplify right side
    21,077.34x = 198,776,935.99
  5. Step 5: Solve for x
    x = 198,776,935.99/21,077.34
  6. Step 6: Final answer
    x = 9,430.84

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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.