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Finding the Fourth Proportional to 27,415.34, 41,119.94 and 7,694.66

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Solution

The fourth proportional to 27,415.34, 41,119.94 and 7,694.66 is: 11,541.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,415.34 : 41,119.94 = 7,694.66 : x
  2. Step 2: Convert to fraction form
    27,415.34/41,119.94 = 7,694.66/x
  3. Step 3: Cross multiply
    27,415.34x = 41,119.94 × 7,694.66
  4. Step 4: Simplify right side
    27,415.34x = 316,403,957.52
  5. Step 5: Solve for x
    x = 316,403,957.52/27,415.34
  6. Step 6: Final answer
    x = 11,541.13

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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.