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Finding the Fourth Proportional to 22,232.28, 33,313.86 and 14,007

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Solution

The fourth proportional to 22,232.28, 33,313.86 and 14,007 is: 20,988.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,232.28 : 33,313.86 = 14,007 : x
  2. Step 2: Convert to fraction form
    22,232.28/33,313.86 = 14,007/x
  3. Step 3: Cross multiply
    22,232.28x = 33,313.86 × 14,007
  4. Step 4: Simplify right side
    22,232.28x = 466,627,237.02
  5. Step 5: Solve for x
    x = 466,627,237.02/22,232.28
  6. Step 6: Final answer
    x = 20,988.73

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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.