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Finding the Fourth Proportional to 20,723.16, 31,097.70 and 8,411.16

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Solution

The fourth proportional to 20,723.16, 31,097.70 and 8,411.16 is: 12,622.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,723.16 : 31,097.70 = 8,411.16 : x
  2. Step 2: Convert to fraction form
    20,723.16/31,097.70 = 8,411.16/x
  3. Step 3: Cross multiply
    20,723.16x = 31,097.70 × 8,411.16
  4. Step 4: Simplify right side
    20,723.16x = 261,567,730.33
  5. Step 5: Solve for x
    x = 261,567,730.33/20,723.16
  6. Step 6: Final answer
    x = 12,622.00

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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.