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Finding the Fourth Proportional to 14,641.85, 20,205.86 and 8,181.50

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Solution

The fourth proportional to 14,641.85, 20,205.86 and 8,181.50 is: 11,290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641.85 : 20,205.86 = 8,181.50 : x
  2. Step 2: Convert to fraction form
    14,641.85/20,205.86 = 8,181.50/x
  3. Step 3: Cross multiply
    14,641.85x = 20,205.86 × 8,181.50
  4. Step 4: Simplify right side
    14,641.85x = 165,314,101.65
  5. Step 5: Solve for x
    x = 165,314,101.65/14,641.85
  6. Step 6: Final answer
    x = 11,290.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.