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Finding the Fourth Proportional to 23,981.36, 35,974.06 and 6,452.15

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Solution

The fourth proportional to 23,981.36, 35,974.06 and 6,452.15 is: 9,678.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,981.36 : 35,974.06 = 6,452.15 : x
  2. Step 2: Convert to fraction form
    23,981.36/35,974.06 = 6,452.15/x
  3. Step 3: Cross multiply
    23,981.36x = 35,974.06 × 6,452.15
  4. Step 4: Simplify right side
    23,981.36x = 232,109,835.23
  5. Step 5: Solve for x
    x = 232,109,835.23/23,981.36
  6. Step 6: Final answer
    x = 9,678.76

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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.