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Finding the Fourth Proportional to 22,649.99, 33,981.08 and 7,858.92

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Solution

The fourth proportional to 22,649.99, 33,981.08 and 7,858.92 is: 11,790.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.99 : 33,981.08 = 7,858.92 : x
  2. Step 2: Convert to fraction form
    22,649.99/33,981.08 = 7,858.92/x
  3. Step 3: Cross multiply
    22,649.99x = 33,981.08 × 7,858.92
  4. Step 4: Simplify right side
    22,649.99x = 267,054,732.63
  5. Step 5: Solve for x
    x = 267,054,732.63/22,649.99
  6. Step 6: Final answer
    x = 11,790.50

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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.