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Finding the Fourth Proportional to 14,211.09, 21,319.74 and 4,351.14

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Solution

The fourth proportional to 14,211.09, 21,319.74 and 4,351.14 is: 6,527.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,211.09 : 21,319.74 = 4,351.14 : x
  2. Step 2: Convert to fraction form
    14,211.09/21,319.74 = 4,351.14/x
  3. Step 3: Cross multiply
    14,211.09x = 21,319.74 × 4,351.14
  4. Step 4: Simplify right side
    14,211.09x = 92,765,173.50
  5. Step 5: Solve for x
    x = 92,765,173.50/14,211.09
  6. Step 6: Final answer
    x = 6,527.66

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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.