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Finding the Fourth Proportional to 22,714, 31,345.34 and 12,778

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Solution

The fourth proportional to 22,714, 31,345.34 and 12,778 is: 17,633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714 : 31,345.34 = 12,778 : x
  2. Step 2: Convert to fraction form
    22,714/31,345.34 = 12,778/x
  3. Step 3: Cross multiply
    22,714x = 31,345.34 × 12,778
  4. Step 4: Simplify right side
    22,714x = 400,530,754.52
  5. Step 5: Solve for x
    x = 400,530,754.52/22,714
  6. Step 6: Final answer
    x = 17,633.65

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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.