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Finding the Fourth Proportional to 15,295.50, 22,942.97 and 4,202.14

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Solution

The fourth proportional to 15,295.50, 22,942.97 and 4,202.14 is: 6,303.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,295.50 : 22,942.97 = 4,202.14 : x
  2. Step 2: Convert to fraction form
    15,295.50/22,942.97 = 4,202.14/x
  3. Step 3: Cross multiply
    15,295.50x = 22,942.97 × 4,202.14
  4. Step 4: Simplify right side
    15,295.50x = 96,409,571.96
  5. Step 5: Solve for x
    x = 96,409,571.96/15,295.50
  6. Step 6: Final answer
    x = 6,303.13

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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.