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Finding the Fourth Proportional to 22,431.70, 30,969.03 and 19,940.82

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Solution

The fourth proportional to 22,431.70, 30,969.03 and 19,940.82 is: 27,530.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,431.70 : 30,969.03 = 19,940.82 : x
  2. Step 2: Convert to fraction form
    22,431.70/30,969.03 = 19,940.82/x
  3. Step 3: Cross multiply
    22,431.70x = 30,969.03 × 19,940.82
  4. Step 4: Simplify right side
    22,431.70x = 617,547,811.45
  5. Step 5: Solve for x
    x = 617,547,811.45/22,431.70
  6. Step 6: Final answer
    x = 27,530.14

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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.