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Finding the Fourth Proportional to 24,798, 34,221.24 and 13,620

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Solution

The fourth proportional to 24,798, 34,221.24 and 13,620 is: 18,795.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,798 : 34,221.24 = 13,620 : x
  2. Step 2: Convert to fraction form
    24,798/34,221.24 = 13,620/x
  3. Step 3: Cross multiply
    24,798x = 34,221.24 × 13,620
  4. Step 4: Simplify right side
    24,798x = 466,093,288.80
  5. Step 5: Solve for x
    x = 466,093,288.80/24,798
  6. Step 6: Final answer
    x = 18,795.60

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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.