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Finding the Fourth Proportional to 22,926.76, 31,640.10 and 12,857.32

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Solution

The fourth proportional to 22,926.76, 31,640.10 and 12,857.32 is: 17,743.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,926.76 : 31,640.10 = 12,857.32 : x
  2. Step 2: Convert to fraction form
    22,926.76/31,640.10 = 12,857.32/x
  3. Step 3: Cross multiply
    22,926.76x = 31,640.10 × 12,857.32
  4. Step 4: Simplify right side
    22,926.76x = 406,806,890.53
  5. Step 5: Solve for x
    x = 406,806,890.53/22,926.76
  6. Step 6: Final answer
    x = 17,743.76

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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.