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Finding the Fourth Proportional to 13,034.52, 17,984.22 and 7,730.52

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Solution

The fourth proportional to 13,034.52, 17,984.22 and 7,730.52 is: 10,666.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.52 : 17,984.22 = 7,730.52 : x
  2. Step 2: Convert to fraction form
    13,034.52/17,984.22 = 7,730.52/x
  3. Step 3: Cross multiply
    13,034.52x = 17,984.22 × 7,730.52
  4. Step 4: Simplify right side
    13,034.52x = 139,027,372.39
  5. Step 5: Solve for x
    x = 139,027,372.39/13,034.52
  6. Step 6: Final answer
    x = 10,666.09

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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.