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Finding the Fourth Proportional to 22,922, 31,632.84 and 12,986

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Solution

The fourth proportional to 22,922, 31,632.84 and 12,986 is: 17,920.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,922 : 31,632.84 = 12,986 : x
  2. Step 2: Convert to fraction form
    22,922/31,632.84 = 12,986/x
  3. Step 3: Cross multiply
    22,922x = 31,632.84 × 12,986
  4. Step 4: Simplify right side
    22,922x = 410,784,060.24
  5. Step 5: Solve for x
    x = 410,784,060.24/22,922
  6. Step 6: Final answer
    x = 17,920.95

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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.