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Finding the Fourth Proportional to 24,420, 33,702.69 and 13,665.48

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Solution

The fourth proportional to 24,420, 33,702.69 and 13,665.48 is: 18,860.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,420 : 33,702.69 = 13,665.48 : x
  2. Step 2: Convert to fraction form
    24,420/33,702.69 = 13,665.48/x
  3. Step 3: Cross multiply
    24,420x = 33,702.69 × 13,665.48
  4. Step 4: Simplify right side
    24,420x = 460,563,436.14
  5. Step 5: Solve for x
    x = 460,563,436.14/24,420
  6. Step 6: Final answer
    x = 18,860.09

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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.