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Finding the Fourth Proportional to 16,709.20, 25,063.77 and 6,848.49

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Solution

The fourth proportional to 16,709.20, 25,063.77 and 6,848.49 is: 10,272.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,709.20 : 25,063.77 = 6,848.49 : x
  2. Step 2: Convert to fraction form
    16,709.20/25,063.77 = 6,848.49/x
  3. Step 3: Cross multiply
    16,709.20x = 25,063.77 × 6,848.49
  4. Step 4: Simplify right side
    16,709.20x = 171,648,978.21
  5. Step 5: Solve for x
    x = 171,648,978.21/16,709.20
  6. Step 6: Final answer
    x = 10,272.72

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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.