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Finding the Fourth Proportional to 15,874.54, 23,814.24 and 4,188.68

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Solution

The fourth proportional to 15,874.54, 23,814.24 and 4,188.68 is: 6,283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,874.54 : 23,814.24 = 4,188.68 : x
  2. Step 2: Convert to fraction form
    15,874.54/23,814.24 = 4,188.68/x
  3. Step 3: Cross multiply
    15,874.54x = 23,814.24 × 4,188.68
  4. Step 4: Simplify right side
    15,874.54x = 99,750,230.80
  5. Step 5: Solve for x
    x = 99,750,230.80/15,874.54
  6. Step 6: Final answer
    x = 6,283.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.