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Finding the Fourth Proportional to 12,124.16, 16,731.17 and 6,818.97

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Solution

The fourth proportional to 12,124.16, 16,731.17 and 6,818.97 is: 9,410.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,124.16 : 16,731.17 = 6,818.97 : x
  2. Step 2: Convert to fraction form
    12,124.16/16,731.17 = 6,818.97/x
  3. Step 3: Cross multiply
    12,124.16x = 16,731.17 × 6,818.97
  4. Step 4: Simplify right side
    12,124.16x = 114,089,438.87
  5. Step 5: Solve for x
    x = 114,089,438.87/12,124.16
  6. Step 6: Final answer
    x = 9,410.09

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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.