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Finding the Fourth Proportional to 14,812.83, 20,440.86 and 8,097.12

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Solution

The fourth proportional to 14,812.83, 20,440.86 and 8,097.12 is: 11,173.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,812.83 : 20,440.86 = 8,097.12 : x
  2. Step 2: Convert to fraction form
    14,812.83/20,440.86 = 8,097.12/x
  3. Step 3: Cross multiply
    14,812.83x = 20,440.86 × 8,097.12
  4. Step 4: Simplify right side
    14,812.83x = 165,512,096.32
  5. Step 5: Solve for x
    x = 165,512,096.32/14,812.83
  6. Step 6: Final answer
    x = 11,173.56

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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.