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Finding the Fourth Proportional to 23,935.66, 35,899.17 and 8,357.74

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Solution

The fourth proportional to 23,935.66, 35,899.17 and 8,357.74 is: 12,535.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,935.66 : 35,899.17 = 8,357.74 : x
  2. Step 2: Convert to fraction form
    23,935.66/35,899.17 = 8,357.74/x
  3. Step 3: Cross multiply
    23,935.66x = 35,899.17 × 8,357.74
  4. Step 4: Simplify right side
    23,935.66x = 300,035,929.08
  5. Step 5: Solve for x
    x = 300,035,929.08/23,935.66
  6. Step 6: Final answer
    x = 12,535.10

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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.