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Finding the Fourth Proportional to 16,852.74, 25,286.46 and 6,471.78

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Solution

The fourth proportional to 16,852.74, 25,286.46 and 6,471.78 is: 9,710.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,852.74 : 25,286.46 = 6,471.78 : x
  2. Step 2: Convert to fraction form
    16,852.74/25,286.46 = 6,471.78/x
  3. Step 3: Cross multiply
    16,852.74x = 25,286.46 × 6,471.78
  4. Step 4: Simplify right side
    16,852.74x = 163,648,406.10
  5. Step 5: Solve for x
    x = 163,648,406.10/16,852.74
  6. Step 6: Final answer
    x = 9,710.49

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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.