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Finding the Fourth Proportional to 22,663.44, 33,945.84 and 10,952

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Solution

The fourth proportional to 22,663.44, 33,945.84 and 10,952 is: 16,404.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,663.44 : 33,945.84 = 10,952 : x
  2. Step 2: Convert to fraction form
    22,663.44/33,945.84 = 10,952/x
  3. Step 3: Cross multiply
    22,663.44x = 33,945.84 × 10,952
  4. Step 4: Simplify right side
    22,663.44x = 371,774,839.68
  5. Step 5: Solve for x
    x = 371,774,839.68/22,663.44
  6. Step 6: Final answer
    x = 16,404.17

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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.