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Finding the Fourth Proportional to 14,191.86, 19,583.01 and 8,221.38

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Solution

The fourth proportional to 14,191.86, 19,583.01 and 8,221.38 is: 11,344.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191.86 : 19,583.01 = 8,221.38 : x
  2. Step 2: Convert to fraction form
    14,191.86/19,583.01 = 8,221.38/x
  3. Step 3: Cross multiply
    14,191.86x = 19,583.01 × 8,221.38
  4. Step 4: Simplify right side
    14,191.86x = 160,999,366.75
  5. Step 5: Solve for x
    x = 160,999,366.75/14,191.86
  6. Step 6: Final answer
    x = 11,344.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.