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Finding the Fourth Proportional to 23,647.14, 35,470.31 and 6,116.85

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Solution

The fourth proportional to 23,647.14, 35,470.31 and 6,116.85 is: 9,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,647.14 : 35,470.31 = 6,116.85 : x
  2. Step 2: Convert to fraction form
    23,647.14/35,470.31 = 6,116.85/x
  3. Step 3: Cross multiply
    23,647.14x = 35,470.31 × 6,116.85
  4. Step 4: Simplify right side
    23,647.14x = 216,966,535.14
  5. Step 5: Solve for x
    x = 216,966,535.14/23,647.14
  6. Step 6: Final answer
    x = 9,175.17

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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.