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Finding the Fourth Proportional to 16,137.60, 22,269.24 and 9,423.60

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Solution

The fourth proportional to 16,137.60, 22,269.24 and 9,423.60 is: 13,004.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,137.60 : 22,269.24 = 9,423.60 : x
  2. Step 2: Convert to fraction form
    16,137.60/22,269.24 = 9,423.60/x
  3. Step 3: Cross multiply
    16,137.60x = 22,269.24 × 9,423.60
  4. Step 4: Simplify right side
    16,137.60x = 209,856,410.06
  5. Step 5: Solve for x
    x = 209,856,410.06/16,137.60
  6. Step 6: Final answer
    x = 13,004.19

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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.