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Finding the Fourth Proportional to 22,926.86, 31,657.76 and 18,678.61

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Solution

The fourth proportional to 22,926.86, 31,657.76 and 18,678.61 is: 25,791.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,926.86 : 31,657.76 = 18,678.61 : x
  2. Step 2: Convert to fraction form
    22,926.86/31,657.76 = 18,678.61/x
  3. Step 3: Cross multiply
    22,926.86x = 31,657.76 × 18,678.61
  4. Step 4: Simplify right side
    22,926.86x = 591,322,920.07
  5. Step 5: Solve for x
    x = 591,322,920.07/22,926.86
  6. Step 6: Final answer
    x = 25,791.72

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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.