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Finding the Fourth Proportional to 23,154.86, 31,953.79 and 12,544.47

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Solution

The fourth proportional to 23,154.86, 31,953.79 and 12,544.47 is: 17,311.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,154.86 : 31,953.79 = 12,544.47 : x
  2. Step 2: Convert to fraction form
    23,154.86/31,953.79 = 12,544.47/x
  3. Step 3: Cross multiply
    23,154.86x = 31,953.79 × 12,544.47
  4. Step 4: Simplify right side
    23,154.86x = 400,843,375.72
  5. Step 5: Solve for x
    x = 400,843,375.72/23,154.86
  6. Step 6: Final answer
    x = 17,311.41

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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.