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Finding the Fourth Proportional to 12,416.22, 18,626.76 and 7,220.88

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Solution

The fourth proportional to 12,416.22, 18,626.76 and 7,220.88 is: 10,832.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.22 : 18,626.76 = 7,220.88 : x
  2. Step 2: Convert to fraction form
    12,416.22/18,626.76 = 7,220.88/x
  3. Step 3: Cross multiply
    12,416.22x = 18,626.76 × 7,220.88
  4. Step 4: Simplify right side
    12,416.22x = 134,501,598.75
  5. Step 5: Solve for x
    x = 134,501,598.75/12,416.22
  6. Step 6: Final answer
    x = 10,832.73

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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.