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Finding the Fourth Proportional to 23,314, 34,976.54 and 7,731.62

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Solution

The fourth proportional to 23,314, 34,976.54 and 7,731.62 is: 11,599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,314 : 34,976.54 = 7,731.62 : x
  2. Step 2: Convert to fraction form
    23,314/34,976.54 = 7,731.62/x
  3. Step 3: Cross multiply
    23,314x = 34,976.54 × 7,731.62
  4. Step 4: Simplify right side
    23,314x = 270,425,316.19
  5. Step 5: Solve for x
    x = 270,425,316.19/23,314
  6. Step 6: Final answer
    x = 11,599.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.