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Finding the Fourth Proportional to 22,966.54, 34,434.32 and 7,969.79

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Solution

The fourth proportional to 22,966.54, 34,434.32 and 7,969.79 is: 11,949.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,966.54 : 34,434.32 = 7,969.79 : x
  2. Step 2: Convert to fraction form
    22,966.54/34,434.32 = 7,969.79/x
  3. Step 3: Cross multiply
    22,966.54x = 34,434.32 × 7,969.79
  4. Step 4: Simplify right side
    22,966.54x = 274,434,345.43
  5. Step 5: Solve for x
    x = 274,434,345.43/22,966.54
  6. Step 6: Final answer
    x = 11,949.31

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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.