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Finding the Fourth Proportional to 14,574.92, 20,112.96 and 8,201.88

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Solution

The fourth proportional to 14,574.92, 20,112.96 and 8,201.88 is: 11,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,574.92 : 20,112.96 = 8,201.88 : x
  2. Step 2: Convert to fraction form
    14,574.92/20,112.96 = 8,201.88/x
  3. Step 3: Cross multiply
    14,574.92x = 20,112.96 × 8,201.88
  4. Step 4: Simplify right side
    14,574.92x = 164,964,084.36
  5. Step 5: Solve for x
    x = 164,964,084.36/14,574.92
  6. Step 6: Final answer
    x = 11,318.35

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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.