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Finding the Fourth Proportional to 11,385.18, 17,034.57 and 10,234.14

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Solution

The fourth proportional to 11,385.18, 17,034.57 and 10,234.14 is: 15,312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385.18 : 17,034.57 = 10,234.14 : x
  2. Step 2: Convert to fraction form
    11,385.18/17,034.57 = 10,234.14/x
  3. Step 3: Cross multiply
    11,385.18x = 17,034.57 × 10,234.14
  4. Step 4: Simplify right side
    11,385.18x = 174,334,174.22
  5. Step 5: Solve for x
    x = 174,334,174.22/11,385.18
  6. Step 6: Final answer
    x = 15,312.38

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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.