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Finding the Fourth Proportional to 23,005.95, 31,704.29 and 19,818.24

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Solution

The fourth proportional to 23,005.95, 31,704.29 and 19,818.24 is: 27,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,005.95 : 31,704.29 = 19,818.24 : x
  2. Step 2: Convert to fraction form
    23,005.95/31,704.29 = 19,818.24/x
  3. Step 3: Cross multiply
    23,005.95x = 31,704.29 × 19,818.24
  4. Step 4: Simplify right side
    23,005.95x = 628,323,296.35
  5. Step 5: Solve for x
    x = 628,323,296.35/23,005.95
  6. Step 6: Final answer
    x = 27,311.34

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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.