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Finding the Fourth Proportional to 12,244.24, 16,900.86 and 7,208.07

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Solution

The fourth proportional to 12,244.24, 16,900.86 and 7,208.07 is: 9,949.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,244.24 : 16,900.86 = 7,208.07 : x
  2. Step 2: Convert to fraction form
    12,244.24/16,900.86 = 7,208.07/x
  3. Step 3: Cross multiply
    12,244.24x = 16,900.86 × 7,208.07
  4. Step 4: Simplify right side
    12,244.24x = 121,822,581.94
  5. Step 5: Solve for x
    x = 121,822,581.94/12,244.24
  6. Step 6: Final answer
    x = 9,949.38

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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.