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Finding the Fourth Proportional to 12,038.82, 16,614.22 and 7,260.30

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Solution

The fourth proportional to 12,038.82, 16,614.22 and 7,260.30 is: 10,019.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038.82 : 16,614.22 = 7,260.30 : x
  2. Step 2: Convert to fraction form
    12,038.82/16,614.22 = 7,260.30/x
  3. Step 3: Cross multiply
    12,038.82x = 16,614.22 × 7,260.30
  4. Step 4: Simplify right side
    12,038.82x = 120,624,221.47
  5. Step 5: Solve for x
    x = 120,624,221.47/12,038.82
  6. Step 6: Final answer
    x = 10,019.61

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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.