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Finding the Fourth Proportional to 23,110.32, 31,904.04 and 16,024.44

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Solution

The fourth proportional to 23,110.32, 31,904.04 and 16,024.44 is: 22,121.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,110.32 : 31,904.04 = 16,024.44 : x
  2. Step 2: Convert to fraction form
    23,110.32/31,904.04 = 16,024.44/x
  3. Step 3: Cross multiply
    23,110.32x = 31,904.04 × 16,024.44
  4. Step 4: Simplify right side
    23,110.32x = 511,244,374.74
  5. Step 5: Solve for x
    x = 511,244,374.74/23,110.32
  6. Step 6: Final answer
    x = 22,121.91

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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.