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Finding the Fourth Proportional to 16,507.50, 24,761.25 and 4,820.82

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Solution

The fourth proportional to 16,507.50, 24,761.25 and 4,820.82 is: 7,231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.50 : 24,761.25 = 4,820.82 : x
  2. Step 2: Convert to fraction form
    16,507.50/24,761.25 = 4,820.82/x
  3. Step 3: Cross multiply
    16,507.50x = 24,761.25 × 4,820.82
  4. Step 4: Simplify right side
    16,507.50x = 119,369,529.23
  5. Step 5: Solve for x
    x = 119,369,529.23/16,507.50
  6. Step 6: Final answer
    x = 7,231.23

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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.