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Finding the Fourth Proportional to 23,854.20, 32,917.14 and 13,243.20

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Solution

The fourth proportional to 23,854.20, 32,917.14 and 13,243.20 is: 18,274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,854.20 : 32,917.14 = 13,243.20 : x
  2. Step 2: Convert to fraction form
    23,854.20/32,917.14 = 13,243.20/x
  3. Step 3: Cross multiply
    23,854.20x = 32,917.14 × 13,243.20
  4. Step 4: Simplify right side
    23,854.20x = 435,928,268.45
  5. Step 5: Solve for x
    x = 435,928,268.45/23,854.20
  6. Step 6: Final answer
    x = 18,274.70

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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.