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Finding the Fourth Proportional to 23,500.58, 35,247.40 and 6,856.14

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Solution

The fourth proportional to 23,500.58, 35,247.40 and 6,856.14 is: 10,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,500.58 : 35,247.40 = 6,856.14 : x
  2. Step 2: Convert to fraction form
    23,500.58/35,247.40 = 6,856.14/x
  3. Step 3: Cross multiply
    23,500.58x = 35,247.40 × 6,856.14
  4. Step 4: Simplify right side
    23,500.58x = 241,661,262.64
  5. Step 5: Solve for x
    x = 241,661,262.64/23,500.58
  6. Step 6: Final answer
    x = 10,283.20

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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.