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Finding the Fourth Proportional to 14,991.39, 20,688.14 and 8,277.30

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Solution

The fourth proportional to 14,991.39, 20,688.14 and 8,277.30 is: 11,422.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,991.39 : 20,688.14 = 8,277.30 : x
  2. Step 2: Convert to fraction form
    14,991.39/20,688.14 = 8,277.30/x
  3. Step 3: Cross multiply
    14,991.39x = 20,688.14 × 8,277.30
  4. Step 4: Simplify right side
    14,991.39x = 171,241,961.92
  5. Step 5: Solve for x
    x = 171,241,961.92/14,991.39
  6. Step 6: Final answer
    x = 11,422.69

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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.