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Finding the Fourth Proportional to 14,656.80, 20,226.26 and 7,942.24

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Solution

The fourth proportional to 14,656.80, 20,226.26 and 7,942.24 is: 10,960.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656.80 : 20,226.26 = 7,942.24 : x
  2. Step 2: Convert to fraction form
    14,656.80/20,226.26 = 7,942.24/x
  3. Step 3: Cross multiply
    14,656.80x = 20,226.26 × 7,942.24
  4. Step 4: Simplify right side
    14,656.80x = 160,641,670.38
  5. Step 5: Solve for x
    x = 160,641,670.38/14,656.80
  6. Step 6: Final answer
    x = 10,960.21

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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.