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Finding the Fourth Proportional to 22,531.65, 31,093.84 and 12,322.73

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Solution

The fourth proportional to 22,531.65, 31,093.84 and 12,322.73 is: 17,005.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,531.65 : 31,093.84 = 12,322.73 : x
  2. Step 2: Convert to fraction form
    22,531.65/31,093.84 = 12,322.73/x
  3. Step 3: Cross multiply
    22,531.65x = 31,093.84 × 12,322.73
  4. Step 4: Simplify right side
    22,531.65x = 383,160,994.98
  5. Step 5: Solve for x
    x = 383,160,994.98/22,531.65
  6. Step 6: Final answer
    x = 17,005.46

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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.