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Finding the Fourth Proportional to 23,000.22, 31,739.22 and 14,062.68

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Solution

The fourth proportional to 23,000.22, 31,739.22 and 14,062.68 is: 19,405.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,000.22 : 31,739.22 = 14,062.68 : x
  2. Step 2: Convert to fraction form
    23,000.22/31,739.22 = 14,062.68/x
  3. Step 3: Cross multiply
    23,000.22x = 31,739.22 × 14,062.68
  4. Step 4: Simplify right side
    23,000.22x = 446,338,494.31
  5. Step 5: Solve for x
    x = 446,338,494.31/23,000.22
  6. Step 6: Final answer
    x = 19,405.84

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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.