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Finding the Fourth Proportional to 24,261.40, 36,393.78 and 9,465.40

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Solution

The fourth proportional to 24,261.40, 36,393.78 and 9,465.40 is: 14,198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,261.40 : 36,393.78 = 9,465.40 : x
  2. Step 2: Convert to fraction form
    24,261.40/36,393.78 = 9,465.40/x
  3. Step 3: Cross multiply
    24,261.40x = 36,393.78 × 9,465.40
  4. Step 4: Simplify right side
    24,261.40x = 344,481,685.21
  5. Step 5: Solve for x
    x = 344,481,685.21/24,261.40
  6. Step 6: Final answer
    x = 14,198.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.