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Finding the Fourth Proportional to 16,227.20, 24,351.60 and 7,457.60

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Solution

The fourth proportional to 16,227.20, 24,351.60 and 7,457.60 is: 11,191.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,227.20 : 24,351.60 = 7,457.60 : x
  2. Step 2: Convert to fraction form
    16,227.20/24,351.60 = 7,457.60/x
  3. Step 3: Cross multiply
    16,227.20x = 24,351.60 × 7,457.60
  4. Step 4: Simplify right side
    16,227.20x = 181,604,492.16
  5. Step 5: Solve for x
    x = 181,604,492.16/16,227.20
  6. Step 6: Final answer
    x = 11,191.36

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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.