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Finding the Fourth Proportional to 23,874.34, 32,951.34 and 13,802.30

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Solution

The fourth proportional to 23,874.34, 32,951.34 and 13,802.30 is: 19,049.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.34 : 32,951.34 = 13,802.30 : x
  2. Step 2: Convert to fraction form
    23,874.34/32,951.34 = 13,802.30/x
  3. Step 3: Cross multiply
    23,874.34x = 32,951.34 × 13,802.30
  4. Step 4: Simplify right side
    23,874.34x = 454,804,115.33
  5. Step 5: Solve for x
    x = 454,804,115.33/23,874.34
  6. Step 6: Final answer
    x = 19,049.91

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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.