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Finding the Fourth Proportional to 23,588.73, 32,552.94 and 12,978.38

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Solution

The fourth proportional to 23,588.73, 32,552.94 and 12,978.38 is: 17,910.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,588.73 : 32,552.94 = 12,978.38 : x
  2. Step 2: Convert to fraction form
    23,588.73/32,552.94 = 12,978.38/x
  3. Step 3: Cross multiply
    23,588.73x = 32,552.94 × 12,978.38
  4. Step 4: Simplify right side
    23,588.73x = 422,484,555.49
  5. Step 5: Solve for x
    x = 422,484,555.49/23,588.73
  6. Step 6: Final answer
    x = 17,910.44

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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.