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Finding the Fourth Proportional to 23,005.74, 31,745.72 and 13,447.86

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Solution

The fourth proportional to 23,005.74, 31,745.72 and 13,447.86 is: 18,556.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,005.74 : 31,745.72 = 13,447.86 : x
  2. Step 2: Convert to fraction form
    23,005.74/31,745.72 = 13,447.86/x
  3. Step 3: Cross multiply
    23,005.74x = 31,745.72 × 13,447.86
  4. Step 4: Simplify right side
    23,005.74x = 426,911,998.16
  5. Step 5: Solve for x
    x = 426,911,998.16/23,005.74
  6. Step 6: Final answer
    x = 18,556.76

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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.