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Finding the Fourth Proportional to 12,656.34, 17,459.90 and 8,181.52

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Solution

The fourth proportional to 12,656.34, 17,459.90 and 8,181.52 is: 11,286.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656.34 : 17,459.90 = 8,181.52 : x
  2. Step 2: Convert to fraction form
    12,656.34/17,459.90 = 8,181.52/x
  3. Step 3: Cross multiply
    12,656.34x = 17,459.90 × 8,181.52
  4. Step 4: Simplify right side
    12,656.34x = 142,848,521.05
  5. Step 5: Solve for x
    x = 142,848,521.05/12,656.34
  6. Step 6: Final answer
    x = 11,286.72

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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.