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Finding the Fourth Proportional to 14,839, 20,477.84 and 9,250

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Solution

The fourth proportional to 14,839, 20,477.84 and 9,250 is: 12,765.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,839 : 20,477.84 = 9,250 : x
  2. Step 2: Convert to fraction form
    14,839/20,477.84 = 9,250/x
  3. Step 3: Cross multiply
    14,839x = 20,477.84 × 9,250
  4. Step 4: Simplify right side
    14,839x = 189,420,020
  5. Step 5: Solve for x
    x = 189,420,020/14,839
  6. Step 6: Final answer
    x = 12,765.01

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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.