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Finding the Fourth Proportional to 16,025.82, 24,041.46 and 4,932.26

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Solution

The fourth proportional to 16,025.82, 24,041.46 and 4,932.26 is: 7,399.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,025.82 : 24,041.46 = 4,932.26 : x
  2. Step 2: Convert to fraction form
    16,025.82/24,041.46 = 4,932.26/x
  3. Step 3: Cross multiply
    16,025.82x = 24,041.46 × 4,932.26
  4. Step 4: Simplify right side
    16,025.82x = 118,578,731.50
  5. Step 5: Solve for x
    x = 118,578,731.50/16,025.82
  6. Step 6: Final answer
    x = 7,399.23

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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.