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Finding the Fourth Proportional to 16,237.64, 24,357.36 and 7,924.74

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Solution

The fourth proportional to 16,237.64, 24,357.36 and 7,924.74 is: 11,887.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,237.64 : 24,357.36 = 7,924.74 : x
  2. Step 2: Convert to fraction form
    16,237.64/24,357.36 = 7,924.74/x
  3. Step 3: Cross multiply
    16,237.64x = 24,357.36 × 7,924.74
  4. Step 4: Simplify right side
    16,237.64x = 193,025,745.09
  5. Step 5: Solve for x
    x = 193,025,745.09/16,237.64
  6. Step 6: Final answer
    x = 11,887.55

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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.