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Finding the Fourth Proportional to 22,818.36, 31,489.86 and 12,746.76

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Solution

The fourth proportional to 22,818.36, 31,489.86 and 12,746.76 is: 17,590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,818.36 : 31,489.86 = 12,746.76 : x
  2. Step 2: Convert to fraction form
    22,818.36/31,489.86 = 12,746.76/x
  3. Step 3: Cross multiply
    22,818.36x = 31,489.86 × 12,746.76
  4. Step 4: Simplify right side
    22,818.36x = 401,393,687.85
  5. Step 5: Solve for x
    x = 401,393,687.85/22,818.36
  6. Step 6: Final answer
    x = 17,590.82

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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.