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Finding the Fourth Proportional to 27,740.28, 41,597.76 and 8,014.12

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Solution

The fourth proportional to 27,740.28, 41,597.76 and 8,014.12 is: 12,017.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,740.28 : 41,597.76 = 8,014.12 : x
  2. Step 2: Convert to fraction form
    27,740.28/41,597.76 = 8,014.12/x
  3. Step 3: Cross multiply
    27,740.28x = 41,597.76 × 8,014.12
  4. Step 4: Simplify right side
    27,740.28x = 333,369,440.37
  5. Step 5: Solve for x
    x = 333,369,440.37/27,740.28
  6. Step 6: Final answer
    x = 12,017.52

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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.