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Finding the Fourth Proportional to 22,476.25, 33,716 and 8,625.25

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Solution

The fourth proportional to 22,476.25, 33,716 and 8,625.25 is: 12,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,476.25 : 33,716 = 8,625.25 : x
  2. Step 2: Convert to fraction form
    22,476.25/33,716 = 8,625.25/x
  3. Step 3: Cross multiply
    22,476.25x = 33,716 × 8,625.25
  4. Step 4: Simplify right side
    22,476.25x = 290,808,929
  5. Step 5: Solve for x
    x = 290,808,929/22,476.25
  6. Step 6: Final answer
    x = 12,938.50

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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.