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Finding the Fourth Proportional to 19,683.21, 29,520.45 and 5,643.21

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Solution

The fourth proportional to 19,683.21, 29,520.45 and 5,643.21 is: 8,463.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.21 : 29,520.45 = 5,643.21 : x
  2. Step 2: Convert to fraction form
    19,683.21/29,520.45 = 5,643.21/x
  3. Step 3: Cross multiply
    19,683.21x = 29,520.45 × 5,643.21
  4. Step 4: Simplify right side
    19,683.21x = 166,590,098.64
  5. Step 5: Solve for x
    x = 166,590,098.64/19,683.21
  6. Step 6: Final answer
    x = 8,463.56

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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.