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Finding the Fourth Proportional to 22,314.47, 33,470.71 and 7,523.33

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Solution

The fourth proportional to 22,314.47, 33,470.71 and 7,523.33 is: 11,284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,314.47 : 33,470.71 = 7,523.33 : x
  2. Step 2: Convert to fraction form
    22,314.47/33,470.71 = 7,523.33/x
  3. Step 3: Cross multiply
    22,314.47x = 33,470.71 × 7,523.33
  4. Step 4: Simplify right side
    22,314.47x = 251,811,196.66
  5. Step 5: Solve for x
    x = 251,811,196.66/22,314.47
  6. Step 6: Final answer
    x = 11,284.66

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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.