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Finding the Fourth Proportional to 22,428.88, 33,643.28 and 6,846.50

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Solution

The fourth proportional to 22,428.88, 33,643.28 and 6,846.50 is: 10,269.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,428.88 : 33,643.28 = 6,846.50 : x
  2. Step 2: Convert to fraction form
    22,428.88/33,643.28 = 6,846.50/x
  3. Step 3: Cross multiply
    22,428.88x = 33,643.28 × 6,846.50
  4. Step 4: Simplify right side
    22,428.88x = 230,338,817.74
  5. Step 5: Solve for x
    x = 230,338,817.74/22,428.88
  6. Step 6: Final answer
    x = 10,269.74

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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.