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Finding the Fourth Proportional to 22,882.58, 31,574.32 and 12,811.45

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Solution

The fourth proportional to 22,882.58, 31,574.32 and 12,811.45 is: 17,677.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,882.58 : 31,574.32 = 12,811.45 : x
  2. Step 2: Convert to fraction form
    22,882.58/31,574.32 = 12,811.45/x
  3. Step 3: Cross multiply
    22,882.58x = 31,574.32 × 12,811.45
  4. Step 4: Simplify right side
    22,882.58x = 404,512,842.27
  5. Step 5: Solve for x
    x = 404,512,842.27/22,882.58
  6. Step 6: Final answer
    x = 17,677.76

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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.