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Finding the Fourth Proportional to 22,447.16, 33,664.24 and 7,655.74

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Solution

The fourth proportional to 22,447.16, 33,664.24 and 7,655.74 is: 11,481.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,447.16 : 33,664.24 = 7,655.74 : x
  2. Step 2: Convert to fraction form
    22,447.16/33,664.24 = 7,655.74/x
  3. Step 3: Cross multiply
    22,447.16x = 33,664.24 × 7,655.74
  4. Step 4: Simplify right side
    22,447.16x = 257,724,668.74
  5. Step 5: Solve for x
    x = 257,724,668.74/22,447.16
  6. Step 6: Final answer
    x = 11,481.39

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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.