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Finding the Fourth Proportional to 14,194.50, 21,297.42 and 5,430.30

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Solution

The fourth proportional to 14,194.50, 21,297.42 and 5,430.30 is: 8,147.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194.50 : 21,297.42 = 5,430.30 : x
  2. Step 2: Convert to fraction form
    14,194.50/21,297.42 = 5,430.30/x
  3. Step 3: Cross multiply
    14,194.50x = 21,297.42 × 5,430.30
  4. Step 4: Simplify right side
    14,194.50x = 115,651,379.83
  5. Step 5: Solve for x
    x = 115,651,379.83/14,194.50
  6. Step 6: Final answer
    x = 8,147.62

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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.