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Finding the Fourth Proportional to 14,697.90, 20,282.52 and 8,729.41

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Solution

The fourth proportional to 14,697.90, 20,282.52 and 8,729.41 is: 12,046.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.90 : 20,282.52 = 8,729.41 : x
  2. Step 2: Convert to fraction form
    14,697.90/20,282.52 = 8,729.41/x
  3. Step 3: Cross multiply
    14,697.90x = 20,282.52 × 8,729.41
  4. Step 4: Simplify right side
    14,697.90x = 177,054,432.91
  5. Step 5: Solve for x
    x = 177,054,432.91/14,697.90
  6. Step 6: Final answer
    x = 12,046.24

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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.