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Finding the Fourth Proportional to 21,463.20, 32,194.80 and 14,464.80

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Solution

The fourth proportional to 21,463.20, 32,194.80 and 14,464.80 is: 21,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,463.20 : 32,194.80 = 14,464.80 : x
  2. Step 2: Convert to fraction form
    21,463.20/32,194.80 = 14,464.80/x
  3. Step 3: Cross multiply
    21,463.20x = 32,194.80 × 14,464.80
  4. Step 4: Simplify right side
    21,463.20x = 465,691,343.04
  5. Step 5: Solve for x
    x = 465,691,343.04/21,463.20
  6. Step 6: Final answer
    x = 21,697.20

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1.5x scale

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.