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Finding the Fourth Proportional to 23,651.40, 35,480.74 and 8,065.38

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Solution

The fourth proportional to 23,651.40, 35,480.74 and 8,065.38 is: 12,099.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,651.40 : 35,480.74 = 8,065.38 : x
  2. Step 2: Convert to fraction form
    23,651.40/35,480.74 = 8,065.38/x
  3. Step 3: Cross multiply
    23,651.40x = 35,480.74 × 8,065.38
  4. Step 4: Simplify right side
    23,651.40x = 286,165,473.38
  5. Step 5: Solve for x
    x = 286,165,473.38/23,651.40
  6. Step 6: Final answer
    x = 12,099.31

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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.