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Finding the Fourth Proportional to 14,191.90, 21,290.10 and 4,832.80

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Solution

The fourth proportional to 14,191.90, 21,290.10 and 4,832.80 is: 7,249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191.90 : 21,290.10 = 4,832.80 : x
  2. Step 2: Convert to fraction form
    14,191.90/21,290.10 = 4,832.80/x
  3. Step 3: Cross multiply
    14,191.90x = 21,290.10 × 4,832.80
  4. Step 4: Simplify right side
    14,191.90x = 102,890,795.28
  5. Step 5: Solve for x
    x = 102,890,795.28/14,191.90
  6. Step 6: Final answer
    x = 7,249.97

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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.