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Finding the Fourth Proportional to 14,977, 22,464.55 and 5,849.11

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Solution

The fourth proportional to 14,977, 22,464.55 and 5,849.11 is: 8,773.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,977 : 22,464.55 = 5,849.11 : x
  2. Step 2: Convert to fraction form
    14,977/22,464.55 = 5,849.11/x
  3. Step 3: Cross multiply
    14,977x = 22,464.55 × 5,849.11
  4. Step 4: Simplify right side
    14,977x = 131,397,624.05
  5. Step 5: Solve for x
    x = 131,397,624.05/14,977
  6. Step 6: Final answer
    x = 8,773.29

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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.