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Finding the Fourth Proportional to 16,853.82, 25,272.93 and 9,835.88

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Solution

The fourth proportional to 16,853.82, 25,272.93 and 9,835.88 is: 14,749.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853.82 : 25,272.93 = 9,835.88 : x
  2. Step 2: Convert to fraction form
    16,853.82/25,272.93 = 9,835.88/x
  3. Step 3: Cross multiply
    16,853.82x = 25,272.93 × 9,835.88
  4. Step 4: Simplify right side
    16,853.82x = 248,581,380.36
  5. Step 5: Solve for x
    x = 248,581,380.36/16,853.82
  6. Step 6: Final answer
    x = 14,749.26

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1.5x scale

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.