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Finding the Fourth Proportional to 12,541.70, 18,811.23 and 5,146.94

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Solution

The fourth proportional to 12,541.70, 18,811.23 and 5,146.94 is: 7,719.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,541.70 : 18,811.23 = 5,146.94 : x
  2. Step 2: Convert to fraction form
    12,541.70/18,811.23 = 5,146.94/x
  3. Step 3: Cross multiply
    12,541.70x = 18,811.23 × 5,146.94
  4. Step 4: Simplify right side
    12,541.70x = 96,820,272.14
  5. Step 5: Solve for x
    x = 96,820,272.14/12,541.70
  6. Step 6: Final answer
    x = 7,719.87

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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.