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Finding the Fourth Proportional to 12,913.52, 17,820.64 and 7,324.52

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Solution

The fourth proportional to 12,913.52, 17,820.64 and 7,324.52 is: 10,107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913.52 : 17,820.64 = 7,324.52 : x
  2. Step 2: Convert to fraction form
    12,913.52/17,820.64 = 7,324.52/x
  3. Step 3: Cross multiply
    12,913.52x = 17,820.64 × 7,324.52
  4. Step 4: Simplify right side
    12,913.52x = 130,527,634.09
  5. Step 5: Solve for x
    x = 130,527,634.09/12,913.52
  6. Step 6: Final answer
    x = 10,107.83

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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.