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Finding the Fourth Proportional to 14,870.98, 20,523.67 and 8,902.65

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Solution

The fourth proportional to 14,870.98, 20,523.67 and 8,902.65 is: 12,286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,870.98 : 20,523.67 = 8,902.65 : x
  2. Step 2: Convert to fraction form
    14,870.98/20,523.67 = 8,902.65/x
  3. Step 3: Cross multiply
    14,870.98x = 20,523.67 × 8,902.65
  4. Step 4: Simplify right side
    14,870.98x = 182,714,968.20
  5. Step 5: Solve for x
    x = 182,714,968.20/14,870.98
  6. Step 6: Final answer
    x = 12,286.68

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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.