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Finding the Fourth Proportional to 16,338.16, 22,551.80 and 9,269.28

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Solution

The fourth proportional to 16,338.16, 22,551.80 and 9,269.28 is: 12,794.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,338.16 : 22,551.80 = 9,269.28 : x
  2. Step 2: Convert to fraction form
    16,338.16/22,551.80 = 9,269.28/x
  3. Step 3: Cross multiply
    16,338.16x = 22,551.80 × 9,269.28
  4. Step 4: Simplify right side
    16,338.16x = 209,038,948.70
  5. Step 5: Solve for x
    x = 209,038,948.70/16,338.16
  6. Step 6: Final answer
    x = 12,794.52

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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.