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Finding the Fourth Proportional to 22,786.29, 31,444.29 and 12,714.54

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Solution

The fourth proportional to 22,786.29, 31,444.29 and 12,714.54 is: 17,545.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,786.29 : 31,444.29 = 12,714.54 : x
  2. Step 2: Convert to fraction form
    22,786.29/31,444.29 = 12,714.54/x
  3. Step 3: Cross multiply
    22,786.29x = 31,444.29 × 12,714.54
  4. Step 4: Simplify right side
    22,786.29x = 399,799,682.98
  5. Step 5: Solve for x
    x = 399,799,682.98/22,786.29
  6. Step 6: Final answer
    x = 17,545.62

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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.