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Finding the Fourth Proportional to 23,813.10, 35,719.62 and 6,283.08

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Solution

The fourth proportional to 23,813.10, 35,719.62 and 6,283.08 is: 9,424.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813.10 : 35,719.62 = 6,283.08 : x
  2. Step 2: Convert to fraction form
    23,813.10/35,719.62 = 6,283.08/x
  3. Step 3: Cross multiply
    23,813.10x = 35,719.62 × 6,283.08
  4. Step 4: Simplify right side
    23,813.10x = 224,429,230.03
  5. Step 5: Solve for x
    x = 224,429,230.03/23,813.10
  6. Step 6: Final answer
    x = 9,424.61

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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.