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Finding the Fourth Proportional to 22,423.33, 33,634.63 and 7,642.54

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Solution

The fourth proportional to 22,423.33, 33,634.63 and 7,642.54 is: 11,463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,423.33 : 33,634.63 = 7,642.54 : x
  2. Step 2: Convert to fraction form
    22,423.33/33,634.63 = 7,642.54/x
  3. Step 3: Cross multiply
    22,423.33x = 33,634.63 × 7,642.54
  4. Step 4: Simplify right side
    22,423.33x = 257,054,005.16
  5. Step 5: Solve for x
    x = 257,054,005.16/22,423.33
  6. Step 6: Final answer
    x = 11,463.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.