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Finding the Fourth Proportional to 22,458.47, 33,690.78 and 7,663.42

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Solution

The fourth proportional to 22,458.47, 33,690.78 and 7,663.42 is: 11,496.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,458.47 : 33,690.78 = 7,663.42 : x
  2. Step 2: Convert to fraction form
    22,458.47/33,690.78 = 7,663.42/x
  3. Step 3: Cross multiply
    22,458.47x = 33,690.78 × 7,663.42
  4. Step 4: Simplify right side
    22,458.47x = 258,186,597.27
  5. Step 5: Solve for x
    x = 258,186,597.27/22,458.47
  6. Step 6: Final answer
    x = 11,496.18

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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.