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Finding the Fourth Proportional to 16,228.77, 24,347.46 and 5,135.64

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Solution

The fourth proportional to 16,228.77, 24,347.46 and 5,135.64 is: 7,704.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,228.77 : 24,347.46 = 5,135.64 : x
  2. Step 2: Convert to fraction form
    16,228.77/24,347.46 = 5,135.64/x
  3. Step 3: Cross multiply
    16,228.77x = 24,347.46 × 5,135.64
  4. Step 4: Simplify right side
    16,228.77x = 125,039,789.47
  5. Step 5: Solve for x
    x = 125,039,789.47/16,228.77
  6. Step 6: Final answer
    x = 7,704.82

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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.