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Finding the Fourth Proportional to 12,534.34, 17,298.99 and 8,231.14

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Solution

The fourth proportional to 12,534.34, 17,298.99 and 8,231.14 is: 11,360.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.34 : 17,298.99 = 8,231.14 : x
  2. Step 2: Convert to fraction form
    12,534.34/17,298.99 = 8,231.14/x
  3. Step 3: Cross multiply
    12,534.34x = 17,298.99 × 8,231.14
  4. Step 4: Simplify right side
    12,534.34x = 142,390,408.55
  5. Step 5: Solve for x
    x = 142,390,408.55/12,534.34
  6. Step 6: Final answer
    x = 11,360.02

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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.