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Finding the Fourth Proportional to 19,688.85, 29,522.31 and 6,534.03

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Solution

The fourth proportional to 19,688.85, 29,522.31 and 6,534.03 is: 9,797.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,688.85 : 29,522.31 = 6,534.03 : x
  2. Step 2: Convert to fraction form
    19,688.85/29,522.31 = 6,534.03/x
  3. Step 3: Cross multiply
    19,688.85x = 29,522.31 × 6,534.03
  4. Step 4: Simplify right side
    19,688.85x = 192,899,659.21
  5. Step 5: Solve for x
    x = 192,899,659.21/19,688.85
  6. Step 6: Final answer
    x = 9,797.41

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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.