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Finding the Fourth Proportional to 14,912.16, 22,365.36 and 7,514.64

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Solution

The fourth proportional to 14,912.16, 22,365.36 and 7,514.64 is: 11,270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,912.16 : 22,365.36 = 7,514.64 : x
  2. Step 2: Convert to fraction form
    14,912.16/22,365.36 = 7,514.64/x
  3. Step 3: Cross multiply
    14,912.16x = 22,365.36 × 7,514.64
  4. Step 4: Simplify right side
    14,912.16x = 168,067,628.87
  5. Step 5: Solve for x
    x = 168,067,628.87/14,912.16
  6. Step 6: Final answer
    x = 11,270.51

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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.