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Finding the Fourth Proportional to 12,853.92, 19,267.52 and 5,452.16

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Solution

The fourth proportional to 12,853.92, 19,267.52 and 5,452.16 is: 8,172.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.92 : 19,267.52 = 5,452.16 : x
  2. Step 2: Convert to fraction form
    12,853.92/19,267.52 = 5,452.16/x
  3. Step 3: Cross multiply
    12,853.92x = 19,267.52 × 5,452.16
  4. Step 4: Simplify right side
    12,853.92x = 105,049,601.84
  5. Step 5: Solve for x
    x = 105,049,601.84/12,853.92
  6. Step 6: Final answer
    x = 8,172.57

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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.