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Finding the Fourth Proportional to 12,039.34, 16,615.16 and 6,735.87

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Solution

The fourth proportional to 12,039.34, 16,615.16 and 6,735.87 is: 9,295.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,039.34 : 16,615.16 = 6,735.87 : x
  2. Step 2: Convert to fraction form
    12,039.34/16,615.16 = 6,735.87/x
  3. Step 3: Cross multiply
    12,039.34x = 16,615.16 × 6,735.87
  4. Step 4: Simplify right side
    12,039.34x = 111,917,557.79
  5. Step 5: Solve for x
    x = 111,917,557.79/12,039.34
  6. Step 6: Final answer
    x = 9,295.99

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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.