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Finding the Fourth Proportional to 22,633.42, 33,939.14 and 13,276.50

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Solution

The fourth proportional to 22,633.42, 33,939.14 and 13,276.50 is: 19,908.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,633.42 : 33,939.14 = 13,276.50 : x
  2. Step 2: Convert to fraction form
    22,633.42/33,939.14 = 13,276.50/x
  3. Step 3: Cross multiply
    22,633.42x = 33,939.14 × 13,276.50
  4. Step 4: Simplify right side
    22,633.42x = 450,592,992.21
  5. Step 5: Solve for x
    x = 450,592,992.21/22,633.42
  6. Step 6: Final answer
    x = 19,908.30

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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.