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Finding the Fourth Proportional to 27,134.94, 40,699.17 and 7,415.22

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Solution

The fourth proportional to 27,134.94, 40,699.17 and 7,415.22 is: 11,121.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,134.94 : 40,699.17 = 7,415.22 : x
  2. Step 2: Convert to fraction form
    27,134.94/40,699.17 = 7,415.22/x
  3. Step 3: Cross multiply
    27,134.94x = 40,699.17 × 7,415.22
  4. Step 4: Simplify right side
    27,134.94x = 301,793,299.37
  5. Step 5: Solve for x
    x = 301,793,299.37/27,134.94
  6. Step 6: Final answer
    x = 11,121.94

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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.