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Finding the Fourth Proportional to 13,937.61, 20,906.59 and 4,077.07

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Solution

The fourth proportional to 13,937.61, 20,906.59 and 4,077.07 is: 6,115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,937.61 : 20,906.59 = 4,077.07 : x
  2. Step 2: Convert to fraction form
    13,937.61/20,906.59 = 4,077.07/x
  3. Step 3: Cross multiply
    13,937.61x = 20,906.59 × 4,077.07
  4. Step 4: Simplify right side
    13,937.61x = 85,237,630.89
  5. Step 5: Solve for x
    x = 85,237,630.89/13,937.61
  6. Step 6: Final answer
    x = 6,115.66

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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.