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Finding the Fourth Proportional to 20,590.46, 30,885.98 and 6,552.65

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Solution

The fourth proportional to 20,590.46, 30,885.98 and 6,552.65 is: 9,829.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,590.46 : 30,885.98 = 6,552.65 : x
  2. Step 2: Convert to fraction form
    20,590.46/30,885.98 = 6,552.65/x
  3. Step 3: Cross multiply
    20,590.46x = 30,885.98 × 6,552.65
  4. Step 4: Simplify right side
    20,590.46x = 202,384,829.65
  5. Step 5: Solve for x
    x = 202,384,829.65/20,590.46
  6. Step 6: Final answer
    x = 9,829.06

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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.