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Finding the Fourth Proportional to 24,224.84, 36,329.58 and 7,805

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Solution

The fourth proportional to 24,224.84, 36,329.58 and 7,805 is: 11,705.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,224.84 : 36,329.58 = 7,805 : x
  2. Step 2: Convert to fraction form
    24,224.84/36,329.58 = 7,805/x
  3. Step 3: Cross multiply
    24,224.84x = 36,329.58 × 7,805
  4. Step 4: Simplify right side
    24,224.84x = 283,552,371.90
  5. Step 5: Solve for x
    x = 283,552,371.90/24,224.84
  6. Step 6: Final answer
    x = 11,705.03

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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.