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Finding the Fourth Proportional to 12,001.89, 16,562.49 and 6,624.38

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Solution

The fourth proportional to 12,001.89, 16,562.49 and 6,624.38 is: 9,141.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,001.89 : 16,562.49 = 6,624.38 : x
  2. Step 2: Convert to fraction form
    12,001.89/16,562.49 = 6,624.38/x
  3. Step 3: Cross multiply
    12,001.89x = 16,562.49 × 6,624.38
  4. Step 4: Simplify right side
    12,001.89x = 109,716,227.51
  5. Step 5: Solve for x
    x = 109,716,227.51/12,001.89
  6. Step 6: Final answer
    x = 9,141.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.