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Finding the Fourth Proportional to 24,549, 33,888 and 16,602

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Solution

The fourth proportional to 24,549, 33,888 and 16,602 is: 22,917.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,549 : 33,888 = 16,602 : x
  2. Step 2: Convert to fraction form
    24,549/33,888 = 16,602/x
  3. Step 3: Cross multiply
    24,549x = 33,888 × 16,602
  4. Step 4: Simplify right side
    24,549x = 562,608,576
  5. Step 5: Solve for x
    x = 562,608,576/24,549
  6. Step 6: Final answer
    x = 22,917.78

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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.