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Finding the Fourth Proportional to 22,966.76, 31,694.12 and 13,030.76

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Solution

The fourth proportional to 22,966.76, 31,694.12 and 13,030.76 is: 17,982.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,966.76 : 31,694.12 = 13,030.76 : x
  2. Step 2: Convert to fraction form
    22,966.76/31,694.12 = 13,030.76/x
  3. Step 3: Cross multiply
    22,966.76x = 31,694.12 × 13,030.76
  4. Step 4: Simplify right side
    22,966.76x = 412,998,471.13
  5. Step 5: Solve for x
    x = 412,998,471.13/22,966.76
  6. Step 6: Final answer
    x = 17,982.44

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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.