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Finding the Fourth Proportional to 22,582.25, 31,163.44 and 12,510.71

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Solution

The fourth proportional to 22,582.25, 31,163.44 and 12,510.71 is: 17,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,582.25 : 31,163.44 = 12,510.71 : x
  2. Step 2: Convert to fraction form
    22,582.25/31,163.44 = 12,510.71/x
  3. Step 3: Cross multiply
    22,582.25x = 31,163.44 × 12,510.71
  4. Step 4: Simplify right side
    22,582.25x = 389,876,760.44
  5. Step 5: Solve for x
    x = 389,876,760.44/22,582.25
  6. Step 6: Final answer
    x = 17,264.74

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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.