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Finding the Fourth Proportional to 13,670.98, 20,509.21 and 4,906.58

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Solution

The fourth proportional to 13,670.98, 20,509.21 and 4,906.58 is: 7,360.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.98 : 20,509.21 = 4,906.58 : x
  2. Step 2: Convert to fraction form
    13,670.98/20,509.21 = 4,906.58/x
  3. Step 3: Cross multiply
    13,670.98x = 20,509.21 × 4,906.58
  4. Step 4: Simplify right side
    13,670.98x = 100,630,079.60
  5. Step 5: Solve for x
    x = 100,630,079.60/13,670.98
  6. Step 6: Final answer
    x = 7,360.85

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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.