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Finding the Fourth Proportional to 15,953.36, 23,932.63 and 5,424.32

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Solution

The fourth proportional to 15,953.36, 23,932.63 and 5,424.32 is: 8,137.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,953.36 : 23,932.63 = 5,424.32 : x
  2. Step 2: Convert to fraction form
    15,953.36/23,932.63 = 5,424.32/x
  3. Step 3: Cross multiply
    15,953.36x = 23,932.63 × 5,424.32
  4. Step 4: Simplify right side
    15,953.36x = 129,818,243.56
  5. Step 5: Solve for x
    x = 129,818,243.56/15,953.36
  6. Step 6: Final answer
    x = 8,137.36

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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.