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Finding the Fourth Proportional to 27,097.14, 40,649.59 and 8,378.63

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Solution

The fourth proportional to 27,097.14, 40,649.59 and 8,378.63 is: 12,569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,097.14 : 40,649.59 = 8,378.63 : x
  2. Step 2: Convert to fraction form
    27,097.14/40,649.59 = 8,378.63/x
  3. Step 3: Cross multiply
    27,097.14x = 40,649.59 × 8,378.63
  4. Step 4: Simplify right side
    27,097.14x = 340,587,629.12
  5. Step 5: Solve for x
    x = 340,587,629.12/27,097.14
  6. Step 6: Final answer
    x = 12,569.14

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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.