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Finding the Fourth Proportional to 12,415.72, 18,661.98 and 11,801.32

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Solution

The fourth proportional to 12,415.72, 18,661.98 and 11,801.32 is: 17,738.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.72 : 18,661.98 = 11,801.32 : x
  2. Step 2: Convert to fraction form
    12,415.72/18,661.98 = 11,801.32/x
  3. Step 3: Cross multiply
    12,415.72x = 18,661.98 × 11,801.32
  4. Step 4: Simplify right side
    12,415.72x = 220,235,997.81
  5. Step 5: Solve for x
    x = 220,235,997.81/12,415.72
  6. Step 6: Final answer
    x = 17,738.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.