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Finding the Fourth Proportional to 22,882.84, 31,574.65 and 12,811.70

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Solution

The fourth proportional to 22,882.84, 31,574.65 and 12,811.70 is: 17,678.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,882.84 : 31,574.65 = 12,811.70 : x
  2. Step 2: Convert to fraction form
    22,882.84/31,574.65 = 12,811.70/x
  3. Step 3: Cross multiply
    22,882.84x = 31,574.65 × 12,811.70
  4. Step 4: Simplify right side
    22,882.84x = 404,524,943.41
  5. Step 5: Solve for x
    x = 404,524,943.41/22,882.84
  6. Step 6: Final answer
    x = 17,678.09

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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.