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Finding the Fourth Proportional to 24,398, 33,669.28 and 13,220

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Solution

The fourth proportional to 24,398, 33,669.28 and 13,220 is: 18,243.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,398 : 33,669.28 = 13,220 : x
  2. Step 2: Convert to fraction form
    24,398/33,669.28 = 13,220/x
  3. Step 3: Cross multiply
    24,398x = 33,669.28 × 13,220
  4. Step 4: Simplify right side
    24,398x = 445,107,881.60
  5. Step 5: Solve for x
    x = 445,107,881.60/24,398
  6. Step 6: Final answer
    x = 18,243.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.