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Finding the Fourth Proportional to 15,568, 23,351.88 and 4,474.78

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Solution

The fourth proportional to 15,568, 23,351.88 and 4,474.78 is: 6,712.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,568 : 23,351.88 = 4,474.78 : x
  2. Step 2: Convert to fraction form
    15,568/23,351.88 = 4,474.78/x
  3. Step 3: Cross multiply
    15,568x = 23,351.88 × 4,474.78
  4. Step 4: Simplify right side
    15,568x = 104,494,525.59
  5. Step 5: Solve for x
    x = 104,494,525.59/15,568
  6. Step 6: Final answer
    x = 6,712.14

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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.