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Finding the Fourth Proportional to 20,477.14, 30,696.25 and 8,005.16

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Solution

The fourth proportional to 20,477.14, 30,696.25 and 8,005.16 is: 12,000.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477.14 : 30,696.25 = 8,005.16 : x
  2. Step 2: Convert to fraction form
    20,477.14/30,696.25 = 8,005.16/x
  3. Step 3: Cross multiply
    20,477.14x = 30,696.25 × 8,005.16
  4. Step 4: Simplify right side
    20,477.14x = 245,728,392.65
  5. Step 5: Solve for x
    x = 245,728,392.65/20,477.14
  6. Step 6: Final answer
    x = 12,000.13

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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.