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Finding the Fourth Proportional to 15,793.92, 23,688.03 and 4,106.42

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Solution

The fourth proportional to 15,793.92, 23,688.03 and 4,106.42 is: 6,158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,793.92 : 23,688.03 = 4,106.42 : x
  2. Step 2: Convert to fraction form
    15,793.92/23,688.03 = 4,106.42/x
  3. Step 3: Cross multiply
    15,793.92x = 23,688.03 × 4,106.42
  4. Step 4: Simplify right side
    15,793.92x = 97,273,000.15
  5. Step 5: Solve for x
    x = 97,273,000.15/15,793.92
  6. Step 6: Final answer
    x = 6,158.89

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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.