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Finding the Fourth Proportional to 22,453.74, 30,986.82 and 12,382.47

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Solution

The fourth proportional to 22,453.74, 30,986.82 and 12,382.47 is: 17,088.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,453.74 : 30,986.82 = 12,382.47 : x
  2. Step 2: Convert to fraction form
    22,453.74/30,986.82 = 12,382.47/x
  3. Step 3: Cross multiply
    22,453.74x = 30,986.82 × 12,382.47
  4. Step 4: Simplify right side
    22,453.74x = 383,693,369.05
  5. Step 5: Solve for x
    x = 383,693,369.05/22,453.74
  6. Step 6: Final answer
    x = 17,088.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.