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Finding the Fourth Proportional to 23,880.71, 32,954.10 and 13,269.71

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Solution

The fourth proportional to 23,880.71, 32,954.10 and 13,269.71 is: 18,311.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,880.71 : 32,954.10 = 13,269.71 : x
  2. Step 2: Convert to fraction form
    23,880.71/32,954.10 = 13,269.71/x
  3. Step 3: Cross multiply
    23,880.71x = 32,954.10 × 13,269.71
  4. Step 4: Simplify right side
    23,880.71x = 437,291,350.31
  5. Step 5: Solve for x
    x = 437,291,350.31/23,880.71
  6. Step 6: Final answer
    x = 18,311.49

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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.