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Finding the Fourth Proportional to 23,798.40, 35,624.70 and 13,908.30

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Solution

The fourth proportional to 23,798.40, 35,624.70 and 13,908.30 is: 20,819.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,798.40 : 35,624.70 = 13,908.30 : x
  2. Step 2: Convert to fraction form
    23,798.40/35,624.70 = 13,908.30/x
  3. Step 3: Cross multiply
    23,798.40x = 35,624.70 × 13,908.30
  4. Step 4: Simplify right side
    23,798.40x = 495,479,015.01
  5. Step 5: Solve for x
    x = 495,479,015.01/23,798.40
  6. Step 6: Final answer
    x = 20,819.85

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