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Finding the Fourth Proportional to 23,046.17, 31,794.05 and 14,090.81

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Solution

The fourth proportional to 23,046.17, 31,794.05 and 14,090.81 is: 19,439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,046.17 : 31,794.05 = 14,090.81 : x
  2. Step 2: Convert to fraction form
    23,046.17/31,794.05 = 14,090.81/x
  3. Step 3: Cross multiply
    23,046.17x = 31,794.05 × 14,090.81
  4. Step 4: Simplify right side
    23,046.17x = 448,003,793.94
  5. Step 5: Solve for x
    x = 448,003,793.94/23,046.17
  6. Step 6: Final answer
    x = 19,439.41

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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.