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Finding the Fourth Proportional to 13,643.16, 20,463.84 and 3,647.76

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Solution

The fourth proportional to 13,643.16, 20,463.84 and 3,647.76 is: 5,471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.16 : 20,463.84 = 3,647.76 : x
  2. Step 2: Convert to fraction form
    13,643.16/20,463.84 = 3,647.76/x
  3. Step 3: Cross multiply
    13,643.16x = 20,463.84 × 3,647.76
  4. Step 4: Simplify right side
    13,643.16x = 74,647,177.00
  5. Step 5: Solve for x
    x = 74,647,177.00/13,643.16
  6. Step 6: Final answer
    x = 5,471.40

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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.