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Finding the Fourth Proportional to 23,188.24, 34,781.74 and 6,549.42

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Solution

The fourth proportional to 23,188.24, 34,781.74 and 6,549.42 is: 9,823.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,188.24 : 34,781.74 = 6,549.42 : x
  2. Step 2: Convert to fraction form
    23,188.24/34,781.74 = 6,549.42/x
  3. Step 3: Cross multiply
    23,188.24x = 34,781.74 × 6,549.42
  4. Step 4: Simplify right side
    23,188.24x = 227,800,223.59
  5. Step 5: Solve for x
    x = 227,800,223.59/23,188.24
  6. Step 6: Final answer
    x = 9,823.95

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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.