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Finding the Fourth Proportional to 15,203.86, 22,795.46 and 6,766.70

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Solution

The fourth proportional to 15,203.86, 22,795.46 and 6,766.70 is: 10,145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,203.86 : 22,795.46 = 6,766.70 : x
  2. Step 2: Convert to fraction form
    15,203.86/22,795.46 = 6,766.70/x
  3. Step 3: Cross multiply
    15,203.86x = 22,795.46 × 6,766.70
  4. Step 4: Simplify right side
    15,203.86x = 154,250,039.18
  5. Step 5: Solve for x
    x = 154,250,039.18/15,203.86
  6. Step 6: Final answer
    x = 10,145.45

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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.