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Finding the Fourth Proportional to 14,824, 22,236 and 4,435.48

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Solution

The fourth proportional to 14,824, 22,236 and 4,435.48 is: 6,653.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,824 : 22,236 = 4,435.48 : x
  2. Step 2: Convert to fraction form
    14,824/22,236 = 4,435.48/x
  3. Step 3: Cross multiply
    14,824x = 22,236 × 4,435.48
  4. Step 4: Simplify right side
    14,824x = 98,627,333.28
  5. Step 5: Solve for x
    x = 98,627,333.28/14,824
  6. Step 6: Final answer
    x = 6,653.22

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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.