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Finding the Fourth Proportional to 24,801, 34,225.38 and 13,623.72

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Solution

The fourth proportional to 24,801, 34,225.38 and 13,623.72 is: 18,800.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,801 : 34,225.38 = 13,623.72 : x
  2. Step 2: Convert to fraction form
    24,801/34,225.38 = 13,623.72/x
  3. Step 3: Cross multiply
    24,801x = 34,225.38 × 13,623.72
  4. Step 4: Simplify right side
    24,801x = 466,276,994.01
  5. Step 5: Solve for x
    x = 466,276,994.01/24,801
  6. Step 6: Final answer
    x = 18,800.73

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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.