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Finding the Fourth Proportional to 13,354.16, 18,436.24 and 8,884

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Solution

The fourth proportional to 13,354.16, 18,436.24 and 8,884 is: 12,264.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,354.16 : 18,436.24 = 8,884 : x
  2. Step 2: Convert to fraction form
    13,354.16/18,436.24 = 8,884/x
  3. Step 3: Cross multiply
    13,354.16x = 18,436.24 × 8,884
  4. Step 4: Simplify right side
    13,354.16x = 163,787,556.16
  5. Step 5: Solve for x
    x = 163,787,556.16/13,354.16
  6. Step 6: Final answer
    x = 12,264.91

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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.