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Finding the Fourth Proportional to 12,099.50, 18,132.22 and 9,623.32

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Solution

The fourth proportional to 12,099.50, 18,132.22 and 9,623.32 is: 14,421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099.50 : 18,132.22 = 9,623.32 : x
  2. Step 2: Convert to fraction form
    12,099.50/18,132.22 = 9,623.32/x
  3. Step 3: Cross multiply
    12,099.50x = 18,132.22 × 9,623.32
  4. Step 4: Simplify right side
    12,099.50x = 174,492,155.37
  5. Step 5: Solve for x
    x = 174,492,155.37/12,099.50
  6. Step 6: Final answer
    x = 14,421.44

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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.