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Finding the Fourth Proportional to 16,437, 24,622.92 and 7,659.84

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Solution

The fourth proportional to 16,437, 24,622.92 and 7,659.84 is: 11,474.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,437 : 24,622.92 = 7,659.84 : x
  2. Step 2: Convert to fraction form
    16,437/24,622.92 = 7,659.84/x
  3. Step 3: Cross multiply
    16,437x = 24,622.92 × 7,659.84
  4. Step 4: Simplify right side
    16,437x = 188,607,627.53
  5. Step 5: Solve for x
    x = 188,607,627.53/16,437
  6. Step 6: Final answer
    x = 11,474.58

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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.