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Finding the Fourth Proportional to 16,133.50, 24,199.16 and 4,446.82

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Solution

The fourth proportional to 16,133.50, 24,199.16 and 4,446.82 is: 6,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,133.50 : 24,199.16 = 4,446.82 : x
  2. Step 2: Convert to fraction form
    16,133.50/24,199.16 = 4,446.82/x
  3. Step 3: Cross multiply
    16,133.50x = 24,199.16 × 4,446.82
  4. Step 4: Simplify right side
    16,133.50x = 107,609,308.67
  5. Step 5: Solve for x
    x = 107,609,308.67/16,133.50
  6. Step 6: Final answer
    x = 6,669.93

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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.