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Finding the Fourth Proportional to 22,786.52, 31,435.70 and 14,282.83

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Solution

The fourth proportional to 22,786.52, 31,435.70 and 14,282.83 is: 19,704.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,786.52 : 31,435.70 = 14,282.83 : x
  2. Step 2: Convert to fraction form
    22,786.52/31,435.70 = 14,282.83/x
  3. Step 3: Cross multiply
    22,786.52x = 31,435.70 × 14,282.83
  4. Step 4: Simplify right side
    22,786.52x = 448,990,726.91
  5. Step 5: Solve for x
    x = 448,990,726.91/22,786.52
  6. Step 6: Final answer
    x = 19,704.23

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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.