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Finding the Fourth Proportional to 12,493.16, 18,734.27 and 4,696.50

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Solution

The fourth proportional to 12,493.16, 18,734.27 and 4,696.50 is: 7,042.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,493.16 : 18,734.27 = 4,696.50 : x
  2. Step 2: Convert to fraction form
    12,493.16/18,734.27 = 4,696.50/x
  3. Step 3: Cross multiply
    12,493.16x = 18,734.27 × 4,696.50
  4. Step 4: Simplify right side
    12,493.16x = 87,985,475.57
  5. Step 5: Solve for x
    x = 87,985,475.57/12,493.16
  6. Step 6: Final answer
    x = 7,042.69

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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.