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Finding the Fourth Proportional to 14,452.24, 19,944.48 and 8,164.48

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Solution

The fourth proportional to 14,452.24, 19,944.48 and 8,164.48 is: 11,267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,452.24 : 19,944.48 = 8,164.48 : x
  2. Step 2: Convert to fraction form
    14,452.24/19,944.48 = 8,164.48/x
  3. Step 3: Cross multiply
    14,452.24x = 19,944.48 × 8,164.48
  4. Step 4: Simplify right side
    14,452.24x = 162,836,308.07
  5. Step 5: Solve for x
    x = 162,836,308.07/14,452.24
  6. Step 6: Final answer
    x = 11,267.20

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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.