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Finding the Fourth Proportional to 22,458, 33,663.44 and 7,661.68

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Solution

The fourth proportional to 22,458, 33,663.44 and 7,661.68 is: 11,484.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,458 : 33,663.44 = 7,661.68 : x
  2. Step 2: Convert to fraction form
    22,458/33,663.44 = 7,661.68/x
  3. Step 3: Cross multiply
    22,458x = 33,663.44 × 7,661.68
  4. Step 4: Simplify right side
    22,458x = 257,918,504.98
  5. Step 5: Solve for x
    x = 257,918,504.98/22,458
  6. Step 6: Final answer
    x = 11,484.48

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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.