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Finding the Fourth Proportional to 13,212.98, 19,814.76 and 6,191.80

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Solution

The fourth proportional to 13,212.98, 19,814.76 and 6,191.80 is: 9,285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212.98 : 19,814.76 = 6,191.80 : x
  2. Step 2: Convert to fraction form
    13,212.98/19,814.76 = 6,191.80/x
  3. Step 3: Cross multiply
    13,212.98x = 19,814.76 × 6,191.80
  4. Step 4: Simplify right side
    13,212.98x = 122,689,030.97
  5. Step 5: Solve for x
    x = 122,689,030.97/13,212.98
  6. Step 6: Final answer
    x = 9,285.49

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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.