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Finding the Fourth Proportional to 15,967.14, 23,959.53 and 6,107.82

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Solution

The fourth proportional to 15,967.14, 23,959.53 and 6,107.82 is: 9,165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,967.14 : 23,959.53 = 6,107.82 : x
  2. Step 2: Convert to fraction form
    15,967.14/23,959.53 = 6,107.82/x
  3. Step 3: Cross multiply
    15,967.14x = 23,959.53 × 6,107.82
  4. Step 4: Simplify right side
    15,967.14x = 146,340,496.52
  5. Step 5: Solve for x
    x = 146,340,496.52/15,967.14
  6. Step 6: Final answer
    x = 9,165.10

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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.