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Finding the Fourth Proportional to 23,874.42, 35,808.81 and 6,345.60

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Solution

The fourth proportional to 23,874.42, 35,808.81 and 6,345.60 is: 9,517.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.42 : 35,808.81 = 6,345.60 : x
  2. Step 2: Convert to fraction form
    23,874.42/35,808.81 = 6,345.60/x
  3. Step 3: Cross multiply
    23,874.42x = 35,808.81 × 6,345.60
  4. Step 4: Simplify right side
    23,874.42x = 227,228,384.74
  5. Step 5: Solve for x
    x = 227,228,384.74/23,874.42
  6. Step 6: Final answer
    x = 9,517.65

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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.