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Finding the Fourth Proportional to 22,486.14, 33,716.25 and 9,347.94

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Solution

The fourth proportional to 22,486.14, 33,716.25 and 9,347.94 is: 14,016.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,486.14 : 33,716.25 = 9,347.94 : x
  2. Step 2: Convert to fraction form
    22,486.14/33,716.25 = 9,347.94/x
  3. Step 3: Cross multiply
    22,486.14x = 33,716.25 × 9,347.94
  4. Step 4: Simplify right side
    22,486.14x = 315,177,482.03
  5. Step 5: Solve for x
    x = 315,177,482.03/22,486.14
  6. Step 6: Final answer
    x = 14,016.52

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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.