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Finding the Fourth Proportional to 15,188.81, 22,781.11 and 4,096.16

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Solution

The fourth proportional to 15,188.81, 22,781.11 and 4,096.16 is: 6,143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,188.81 : 22,781.11 = 4,096.16 : x
  2. Step 2: Convert to fraction form
    15,188.81/22,781.11 = 4,096.16/x
  3. Step 3: Cross multiply
    15,188.81x = 22,781.11 × 4,096.16
  4. Step 4: Simplify right side
    15,188.81x = 93,315,118.25
  5. Step 5: Solve for x
    x = 93,315,118.25/15,188.81
  6. Step 6: Final answer
    x = 6,143.68

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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.