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Finding the Fourth Proportional to 21,263.84, 31,896.88 and 6,473.20

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Solution

The fourth proportional to 21,263.84, 31,896.88 and 6,473.20 is: 9,710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,263.84 : 31,896.88 = 6,473.20 : x
  2. Step 2: Convert to fraction form
    21,263.84/31,896.88 = 6,473.20/x
  3. Step 3: Cross multiply
    21,263.84x = 31,896.88 × 6,473.20
  4. Step 4: Simplify right side
    21,263.84x = 206,474,883.62
  5. Step 5: Solve for x
    x = 206,474,883.62/21,263.84
  6. Step 6: Final answer
    x = 9,710.14

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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.