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Finding the Fourth Proportional to 23,683.90, 32,683.64 and 13,074.16

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Solution

The fourth proportional to 23,683.90, 32,683.64 and 13,074.16 is: 18,042.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,683.90 : 32,683.64 = 13,074.16 : x
  2. Step 2: Convert to fraction form
    23,683.90/32,683.64 = 13,074.16/x
  3. Step 3: Cross multiply
    23,683.90x = 32,683.64 × 13,074.16
  4. Step 4: Simplify right side
    23,683.90x = 427,311,138.74
  5. Step 5: Solve for x
    x = 427,311,138.74/23,683.90
  6. Step 6: Final answer
    x = 18,042.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.