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Finding the Fourth Proportional to 14,523.11, 20,048.52 and 11,164.74

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Solution

The fourth proportional to 14,523.11, 20,048.52 and 11,164.74 is: 15,412.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523.11 : 20,048.52 = 11,164.74 : x
  2. Step 2: Convert to fraction form
    14,523.11/20,048.52 = 11,164.74/x
  3. Step 3: Cross multiply
    14,523.11x = 20,048.52 × 11,164.74
  4. Step 4: Simplify right side
    14,523.11x = 223,836,513.18
  5. Step 5: Solve for x
    x = 223,836,513.18/14,523.11
  6. Step 6: Final answer
    x = 15,412.44

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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.