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Finding the Fourth Proportional to 16,737, 25,091.16 and 6,870.12

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Solution

The fourth proportional to 16,737, 25,091.16 and 6,870.12 is: 10,299.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,737 : 25,091.16 = 6,870.12 : x
  2. Step 2: Convert to fraction form
    16,737/25,091.16 = 6,870.12/x
  3. Step 3: Cross multiply
    16,737x = 25,091.16 × 6,870.12
  4. Step 4: Simplify right side
    16,737x = 172,379,280.14
  5. Step 5: Solve for x
    x = 172,379,280.14/16,737
  6. Step 6: Final answer
    x = 10,299.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.