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Finding the Fourth Proportional to 24,618.70, 36,918.33 and 9,027.82

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Solution

The fourth proportional to 24,618.70, 36,918.33 and 9,027.82 is: 13,538.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,618.70 : 36,918.33 = 9,027.82 : x
  2. Step 2: Convert to fraction form
    24,618.70/36,918.33 = 9,027.82/x
  3. Step 3: Cross multiply
    24,618.70x = 36,918.33 × 9,027.82
  4. Step 4: Simplify right side
    24,618.70x = 333,292,037.94
  5. Step 5: Solve for x
    x = 333,292,037.94/24,618.70
  6. Step 6: Final answer
    x = 13,538.17

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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.