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Finding the Fourth Proportional to 23,930.88, 35,880.12 and 8,340

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Solution

The fourth proportional to 23,930.88, 35,880.12 and 8,340 is: 12,504.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,930.88 : 35,880.12 = 8,340 : x
  2. Step 2: Convert to fraction form
    23,930.88/35,880.12 = 8,340/x
  3. Step 3: Cross multiply
    23,930.88x = 35,880.12 × 8,340
  4. Step 4: Simplify right side
    23,930.88x = 299,240,200.80
  5. Step 5: Solve for x
    x = 299,240,200.80/23,930.88
  6. Step 6: Final answer
    x = 12,504.35

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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.