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Finding the Fourth Proportional to 22,264.61, 33,396.10 and 6,681.83

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Solution

The fourth proportional to 22,264.61, 33,396.10 and 6,681.83 is: 10,022.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,264.61 : 33,396.10 = 6,681.83 : x
  2. Step 2: Convert to fraction form
    22,264.61/33,396.10 = 6,681.83/x
  3. Step 3: Cross multiply
    22,264.61x = 33,396.10 × 6,681.83
  4. Step 4: Simplify right side
    22,264.61x = 223,146,879.18
  5. Step 5: Solve for x
    x = 223,146,879.18/22,264.61
  6. Step 6: Final answer
    x = 10,022.49

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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.