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Finding the Fourth Proportional to 24,194.40, 36,305.43 and 9,401.40

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Solution

The fourth proportional to 24,194.40, 36,305.43 and 9,401.40 is: 14,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,194.40 : 36,305.43 = 9,401.40 : x
  2. Step 2: Convert to fraction form
    24,194.40/36,305.43 = 9,401.40/x
  3. Step 3: Cross multiply
    24,194.40x = 36,305.43 × 9,401.40
  4. Step 4: Simplify right side
    24,194.40x = 341,321,869.60
  5. Step 5: Solve for x
    x = 341,321,869.60/24,194.40
  6. Step 6: Final answer
    x = 14,107.47

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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.