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Finding the Fourth Proportional to 12,039.64, 16,615.94 and 7,260.23

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Solution

The fourth proportional to 12,039.64, 16,615.94 and 7,260.23 is: 10,019.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,039.64 : 16,615.94 = 7,260.23 : x
  2. Step 2: Convert to fraction form
    12,039.64/16,615.94 = 7,260.23/x
  3. Step 3: Cross multiply
    12,039.64x = 16,615.94 × 7,260.23
  4. Step 4: Simplify right side
    12,039.64x = 120,635,551.30
  5. Step 5: Solve for x
    x = 120,635,551.30/12,039.64
  6. Step 6: Final answer
    x = 10,019.87

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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.