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Finding the Fourth Proportional to 23,105.80, 34,658.19 and 6,465.50

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Solution

The fourth proportional to 23,105.80, 34,658.19 and 6,465.50 is: 9,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,105.80 : 34,658.19 = 6,465.50 : x
  2. Step 2: Convert to fraction form
    23,105.80/34,658.19 = 6,465.50/x
  3. Step 3: Cross multiply
    23,105.80x = 34,658.19 × 6,465.50
  4. Step 4: Simplify right side
    23,105.80x = 224,082,354.15
  5. Step 5: Solve for x
    x = 224,082,354.15/23,105.80
  6. Step 6: Final answer
    x = 9,698.10

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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.