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Finding the Fourth Proportional to 16,316.16, 24,474.24 and 7,549.44

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Solution

The fourth proportional to 16,316.16, 24,474.24 and 7,549.44 is: 11,324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,316.16 : 24,474.24 = 7,549.44 : x
  2. Step 2: Convert to fraction form
    16,316.16/24,474.24 = 7,549.44/x
  3. Step 3: Cross multiply
    16,316.16x = 24,474.24 × 7,549.44
  4. Step 4: Simplify right side
    16,316.16x = 184,766,806.43
  5. Step 5: Solve for x
    x = 184,766,806.43/16,316.16
  6. Step 6: Final answer
    x = 11,324.16

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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.