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Finding the Fourth Proportional to 27,147.86, 40,696.26 and 14,649.15

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Solution

The fourth proportional to 27,147.86, 40,696.26 and 14,649.15 is: 21,959.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,147.86 : 40,696.26 = 14,649.15 : x
  2. Step 2: Convert to fraction form
    27,147.86/40,696.26 = 14,649.15/x
  3. Step 3: Cross multiply
    27,147.86x = 40,696.26 × 14,649.15
  4. Step 4: Simplify right side
    27,147.86x = 596,165,617.18
  5. Step 5: Solve for x
    x = 596,165,617.18/27,147.86
  6. Step 6: Final answer
    x = 21,959.95

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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.