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Finding the Fourth Proportional to 14,691.20, 21,991.80 and 8,097.20

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Solution

The fourth proportional to 14,691.20, 21,991.80 and 8,097.20 is: 12,121.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691.20 : 21,991.80 = 8,097.20 : x
  2. Step 2: Convert to fraction form
    14,691.20/21,991.80 = 8,097.20/x
  3. Step 3: Cross multiply
    14,691.20x = 21,991.80 × 8,097.20
  4. Step 4: Simplify right side
    14,691.20x = 178,072,002.96
  5. Step 5: Solve for x
    x = 178,072,002.96/14,691.20
  6. Step 6: Final answer
    x = 12,121.00

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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.