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Finding the Fourth Proportional to 11,536.89, 17,319.05 and 9,710.73

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Solution

The fourth proportional to 11,536.89, 17,319.05 and 9,710.73 is: 14,577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536.89 : 17,319.05 = 9,710.73 : x
  2. Step 2: Convert to fraction form
    11,536.89/17,319.05 = 9,710.73/x
  3. Step 3: Cross multiply
    11,536.89x = 17,319.05 × 9,710.73
  4. Step 4: Simplify right side
    11,536.89x = 168,180,569.85
  5. Step 5: Solve for x
    x = 168,180,569.85/11,536.89
  6. Step 6: Final answer
    x = 14,577.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.