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Finding the Fourth Proportional to 16,482, 22,745.16 and 9,858

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Solution

The fourth proportional to 16,482, 22,745.16 and 9,858 is: 13,604.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,482 : 22,745.16 = 9,858 : x
  2. Step 2: Convert to fraction form
    16,482/22,745.16 = 9,858/x
  3. Step 3: Cross multiply
    16,482x = 22,745.16 × 9,858
  4. Step 4: Simplify right side
    16,482x = 224,221,787.28
  5. Step 5: Solve for x
    x = 224,221,787.28/16,482
  6. Step 6: Final answer
    x = 13,604.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.