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Finding the Fourth Proportional to 24,817, 34,247.46 and 13,639

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Solution

The fourth proportional to 24,817, 34,247.46 and 13,639 is: 18,821.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,817 : 34,247.46 = 13,639 : x
  2. Step 2: Convert to fraction form
    24,817/34,247.46 = 13,639/x
  3. Step 3: Cross multiply
    24,817x = 34,247.46 × 13,639
  4. Step 4: Simplify right side
    24,817x = 467,101,106.94
  5. Step 5: Solve for x
    x = 467,101,106.94/24,817
  6. Step 6: Final answer
    x = 18,821.82

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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.