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Finding the Fourth Proportional to 14,080.72, 19,431.12 and 7,793.14

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Solution

The fourth proportional to 14,080.72, 19,431.12 and 7,793.14 is: 10,754.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,080.72 : 19,431.12 = 7,793.14 : x
  2. Step 2: Convert to fraction form
    14,080.72/19,431.12 = 7,793.14/x
  3. Step 3: Cross multiply
    14,080.72x = 19,431.12 × 7,793.14
  4. Step 4: Simplify right side
    14,080.72x = 151,429,438.52
  5. Step 5: Solve for x
    x = 151,429,438.52/14,080.72
  6. Step 6: Final answer
    x = 10,754.38

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Why These Related Problems?

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