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Finding the Fourth Proportional to 22,208.13, 30,648.66 and 12,776.49

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Solution

The fourth proportional to 22,208.13, 30,648.66 and 12,776.49 is: 17,632.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,208.13 : 30,648.66 = 12,776.49 : x
  2. Step 2: Convert to fraction form
    22,208.13/30,648.66 = 12,776.49/x
  3. Step 3: Cross multiply
    22,208.13x = 30,648.66 × 12,776.49
  4. Step 4: Simplify right side
    22,208.13x = 391,582,298.00
  5. Step 5: Solve for x
    x = 391,582,298.00/22,208.13
  6. Step 6: Final answer
    x = 17,632.38

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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.