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Finding the Fourth Proportional to 23,683.94, 32,684.10 and 13,073.57

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Solution

The fourth proportional to 23,683.94, 32,684.10 and 13,073.57 is: 18,041.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,683.94 : 32,684.10 = 13,073.57 : x
  2. Step 2: Convert to fraction form
    23,683.94/32,684.10 = 13,073.57/x
  3. Step 3: Cross multiply
    23,683.94x = 32,684.10 × 13,073.57
  4. Step 4: Simplify right side
    23,683.94x = 427,297,950.95
  5. Step 5: Solve for x
    x = 427,297,950.95/23,683.94
  6. Step 6: Final answer
    x = 18,041.68

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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.