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Finding the Fourth Proportional to 22,762, 34,146.84 and 9,620.56

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Solution

The fourth proportional to 22,762, 34,146.84 and 9,620.56 is: 14,432.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762 : 34,146.84 = 9,620.56 : x
  2. Step 2: Convert to fraction form
    22,762/34,146.84 = 9,620.56/x
  3. Step 3: Cross multiply
    22,762x = 34,146.84 × 9,620.56
  4. Step 4: Simplify right side
    22,762x = 328,511,723.03
  5. Step 5: Solve for x
    x = 328,511,723.03/22,762
  6. Step 6: Final answer
    x = 14,432.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.