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Finding the Fourth Proportional to 12,047.64, 18,071.78 and 4,254.68

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Solution

The fourth proportional to 12,047.64, 18,071.78 and 4,254.68 is: 6,382.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,047.64 : 18,071.78 = 4,254.68 : x
  2. Step 2: Convert to fraction form
    12,047.64/18,071.78 = 4,254.68/x
  3. Step 3: Cross multiply
    12,047.64x = 18,071.78 × 4,254.68
  4. Step 4: Simplify right side
    12,047.64x = 76,889,640.93
  5. Step 5: Solve for x
    x = 76,889,640.93/12,047.64
  6. Step 6: Final answer
    x = 6,382.13

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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.