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Finding the Fourth Proportional to 14,200.16, 19,596.16 and 7,912.48

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Solution

The fourth proportional to 14,200.16, 19,596.16 and 7,912.48 is: 10,919.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.16 : 19,596.16 = 7,912.48 : x
  2. Step 2: Convert to fraction form
    14,200.16/19,596.16 = 7,912.48/x
  3. Step 3: Cross multiply
    14,200.16x = 19,596.16 × 7,912.48
  4. Step 4: Simplify right side
    14,200.16x = 155,054,224.08
  5. Step 5: Solve for x
    x = 155,054,224.08/14,200.16
  6. Step 6: Final answer
    x = 10,919.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.