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Finding the Fourth Proportional to 13,143.40, 19,697.01 and 5,754.04

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Solution

The fourth proportional to 13,143.40, 19,697.01 and 5,754.04 is: 8,623.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.40 : 19,697.01 = 5,754.04 : x
  2. Step 2: Convert to fraction form
    13,143.40/19,697.01 = 5,754.04/x
  3. Step 3: Cross multiply
    13,143.40x = 19,697.01 × 5,754.04
  4. Step 4: Simplify right side
    13,143.40x = 113,337,383.42
  5. Step 5: Solve for x
    x = 113,337,383.42/13,143.40
  6. Step 6: Final answer
    x = 8,623.14

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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.