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Finding the Fourth Proportional to 16,982.10, 23,435.22 and 9,907.14

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Solution

The fourth proportional to 16,982.10, 23,435.22 and 9,907.14 is: 13,671.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,982.10 : 23,435.22 = 9,907.14 : x
  2. Step 2: Convert to fraction form
    16,982.10/23,435.22 = 9,907.14/x
  3. Step 3: Cross multiply
    16,982.10x = 23,435.22 × 9,907.14
  4. Step 4: Simplify right side
    16,982.10x = 232,176,005.47
  5. Step 5: Solve for x
    x = 232,176,005.47/16,982.10
  6. Step 6: Final answer
    x = 13,671.81

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1.5x scale

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.