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Finding the Fourth Proportional to 24,308.40, 33,546.24 and 13,697.40

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Solution

The fourth proportional to 24,308.40, 33,546.24 and 13,697.40 is: 18,902.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,308.40 : 33,546.24 = 13,697.40 : x
  2. Step 2: Convert to fraction form
    24,308.40/33,546.24 = 13,697.40/x
  3. Step 3: Cross multiply
    24,308.40x = 33,546.24 × 13,697.40
  4. Step 4: Simplify right side
    24,308.40x = 459,496,267.78
  5. Step 5: Solve for x
    x = 459,496,267.78/24,308.40
  6. Step 6: Final answer
    x = 18,902.78

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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.