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Finding the Fourth Proportional to 19,683.65, 29,522.70 and 5,644.87

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Solution

The fourth proportional to 19,683.65, 29,522.70 and 5,644.87 is: 8,466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.65 : 29,522.70 = 5,644.87 : x
  2. Step 2: Convert to fraction form
    19,683.65/29,522.70 = 5,644.87/x
  3. Step 3: Cross multiply
    19,683.65x = 29,522.70 × 5,644.87
  4. Step 4: Simplify right side
    19,683.65x = 166,651,803.55
  5. Step 5: Solve for x
    x = 166,651,803.55/19,683.65
  6. Step 6: Final answer
    x = 8,466.51

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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.