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Finding the Fourth Proportional to 22,809.77, 31,468.38 and 14,849.09

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Solution

The fourth proportional to 22,809.77, 31,468.38 and 14,849.09 is: 20,485.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,809.77 : 31,468.38 = 14,849.09 : x
  2. Step 2: Convert to fraction form
    22,809.77/31,468.38 = 14,849.09/x
  3. Step 3: Cross multiply
    22,809.77x = 31,468.38 × 14,849.09
  4. Step 4: Simplify right side
    22,809.77x = 467,276,649.43
  5. Step 5: Solve for x
    x = 467,276,649.43/22,809.77
  6. Step 6: Final answer
    x = 20,485.82

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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.