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Finding the Fourth Proportional to 16,015.78, 24,022.93 and 4,921.95

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Solution

The fourth proportional to 16,015.78, 24,022.93 and 4,921.95 is: 7,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,015.78 : 24,022.93 = 4,921.95 : x
  2. Step 2: Convert to fraction form
    16,015.78/24,022.93 = 4,921.95/x
  3. Step 3: Cross multiply
    16,015.78x = 24,022.93 × 4,921.95
  4. Step 4: Simplify right side
    16,015.78x = 118,239,660.31
  5. Step 5: Solve for x
    x = 118,239,660.31/16,015.78
  6. Step 6: Final answer
    x = 7,382.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.