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Finding the Fourth Proportional to 22,264.88, 33,397.92 and 6,682.50

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Solution

The fourth proportional to 22,264.88, 33,397.92 and 6,682.50 is: 10,023.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,264.88 : 33,397.92 = 6,682.50 : x
  2. Step 2: Convert to fraction form
    22,264.88/33,397.92 = 6,682.50/x
  3. Step 3: Cross multiply
    22,264.88x = 33,397.92 × 6,682.50
  4. Step 4: Simplify right side
    22,264.88x = 223,181,600.40
  5. Step 5: Solve for x
    x = 223,181,600.40/22,264.88
  6. Step 6: Final answer
    x = 10,023.93

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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.