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Finding the Fourth Proportional to 20,152.25, 27,807.90 and 11,653.09

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Solution

The fourth proportional to 20,152.25, 27,807.90 and 11,653.09 is: 16,079.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.25 : 27,807.90 = 11,653.09 : x
  2. Step 2: Convert to fraction form
    20,152.25/27,807.90 = 11,653.09/x
  3. Step 3: Cross multiply
    20,152.25x = 27,807.90 × 11,653.09
  4. Step 4: Simplify right side
    20,152.25x = 324,047,764.11
  5. Step 5: Solve for x
    x = 324,047,764.11/20,152.25
  6. Step 6: Final answer
    x = 16,079.98

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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.