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Finding the Fourth Proportional to 23,037.68, 31,791.80 and 13,101.68

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Solution

The fourth proportional to 23,037.68, 31,791.80 and 13,101.68 is: 18,080.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,037.68 : 31,791.80 = 13,101.68 : x
  2. Step 2: Convert to fraction form
    23,037.68/31,791.80 = 13,101.68/x
  3. Step 3: Cross multiply
    23,037.68x = 31,791.80 × 13,101.68
  4. Step 4: Simplify right side
    23,037.68x = 416,525,990.22
  5. Step 5: Solve for x
    x = 416,525,990.22/23,037.68
  6. Step 6: Final answer
    x = 18,080.21

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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.