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Finding the Fourth Proportional to 15,384.87, 23,067.44 and 6,497.79

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Solution

The fourth proportional to 15,384.87, 23,067.44 and 6,497.79 is: 9,742.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384.87 : 23,067.44 = 6,497.79 : x
  2. Step 2: Convert to fraction form
    15,384.87/23,067.44 = 6,497.79/x
  3. Step 3: Cross multiply
    15,384.87x = 23,067.44 × 6,497.79
  4. Step 4: Simplify right side
    15,384.87x = 149,887,323.29
  5. Step 5: Solve for x
    x = 149,887,323.29/15,384.87
  6. Step 6: Final answer
    x = 9,742.52

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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.