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Finding the Fourth Proportional to 14,212.67, 21,319.14 and 5,445.50

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Solution

The fourth proportional to 14,212.67, 21,319.14 and 5,445.50 is: 8,168.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,212.67 : 21,319.14 = 5,445.50 : x
  2. Step 2: Convert to fraction form
    14,212.67/21,319.14 = 5,445.50/x
  3. Step 3: Cross multiply
    14,212.67x = 21,319.14 × 5,445.50
  4. Step 4: Simplify right side
    14,212.67x = 116,093,376.87
  5. Step 5: Solve for x
    x = 116,093,376.87/14,212.67
  6. Step 6: Final answer
    x = 8,168.30

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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.