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Finding the Fourth Proportional to 16,737.54, 25,106.34 and 6,869.94

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Solution

The fourth proportional to 16,737.54, 25,106.34 and 6,869.94 is: 10,304.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,737.54 : 25,106.34 = 6,869.94 : x
  2. Step 2: Convert to fraction form
    16,737.54/25,106.34 = 6,869.94/x
  3. Step 3: Cross multiply
    16,737.54x = 25,106.34 × 6,869.94
  4. Step 4: Simplify right side
    16,737.54x = 172,479,049.42
  5. Step 5: Solve for x
    x = 172,479,049.42/16,737.54
  6. Step 6: Final answer
    x = 10,304.92

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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.