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Finding the Fourth Proportional to 14,212.95, 19,615.76 and 8,243.39

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Solution

The fourth proportional to 14,212.95, 19,615.76 and 8,243.39 is: 11,376.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,212.95 : 19,615.76 = 8,243.39 : x
  2. Step 2: Convert to fraction form
    14,212.95/19,615.76 = 8,243.39/x
  3. Step 3: Cross multiply
    14,212.95x = 19,615.76 × 8,243.39
  4. Step 4: Simplify right side
    14,212.95x = 161,700,310.79
  5. Step 5: Solve for x
    x = 161,700,310.79/14,212.95
  6. Step 6: Final answer
    x = 11,376.97

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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.