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Finding the Fourth Proportional to 19,683.21, 29,515.09 and 8,585.09

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Solution

The fourth proportional to 19,683.21, 29,515.09 and 8,585.09 is: 12,873.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.21 : 29,515.09 = 8,585.09 : x
  2. Step 2: Convert to fraction form
    19,683.21/29,515.09 = 8,585.09/x
  3. Step 3: Cross multiply
    19,683.21x = 29,515.09 × 8,585.09
  4. Step 4: Simplify right side
    19,683.21x = 253,389,704.01
  5. Step 5: Solve for x
    x = 253,389,704.01/19,683.21
  6. Step 6: Final answer
    x = 12,873.39

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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.