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Finding the Fourth Proportional to 22,876.68, 31,569.57 and 12,804.96

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Solution

The fourth proportional to 22,876.68, 31,569.57 and 12,804.96 is: 17,670.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,876.68 : 31,569.57 = 12,804.96 : x
  2. Step 2: Convert to fraction form
    22,876.68/31,569.57 = 12,804.96/x
  3. Step 3: Cross multiply
    22,876.68x = 31,569.57 × 12,804.96
  4. Step 4: Simplify right side
    22,876.68x = 404,247,081.07
  5. Step 5: Solve for x
    x = 404,247,081.07/22,876.68
  6. Step 6: Final answer
    x = 17,670.71

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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.