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Finding the Fourth Proportional to 15,674.91, 23,513.74 and 5,141.78

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Solution

The fourth proportional to 15,674.91, 23,513.74 and 5,141.78 is: 7,713.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,674.91 : 23,513.74 = 5,141.78 : x
  2. Step 2: Convert to fraction form
    15,674.91/23,513.74 = 5,141.78/x
  3. Step 3: Cross multiply
    15,674.91x = 23,513.74 × 5,141.78
  4. Step 4: Simplify right side
    15,674.91x = 120,902,334.78
  5. Step 5: Solve for x
    x = 120,902,334.78/15,674.91
  6. Step 6: Final answer
    x = 7,713.11

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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.