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Finding the Fourth Proportional to 23,653.40, 35,483.74 and 8,067.38

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Solution

The fourth proportional to 23,653.40, 35,483.74 and 8,067.38 is: 12,102.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,653.40 : 35,483.74 = 8,067.38 : x
  2. Step 2: Convert to fraction form
    23,653.40/35,483.74 = 8,067.38/x
  3. Step 3: Cross multiply
    23,653.40x = 35,483.74 × 8,067.38
  4. Step 4: Simplify right side
    23,653.40x = 286,260,814.40
  5. Step 5: Solve for x
    x = 286,260,814.40/23,653.40
  6. Step 6: Final answer
    x = 12,102.31

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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.