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Finding the Fourth Proportional to 13,716, 18,930.24 and 8,125.92

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Solution

The fourth proportional to 13,716, 18,930.24 and 8,125.92 is: 11,215.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,716 : 18,930.24 = 8,125.92 : x
  2. Step 2: Convert to fraction form
    13,716/18,930.24 = 8,125.92/x
  3. Step 3: Cross multiply
    13,716x = 18,930.24 × 8,125.92
  4. Step 4: Simplify right side
    13,716x = 153,825,615.82
  5. Step 5: Solve for x
    x = 153,825,615.82/13,716
  6. Step 6: Final answer
    x = 11,215.05

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