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Finding the Fourth Proportional to 12,328.96, 18,492.72 and 3,563.68

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Solution

The fourth proportional to 12,328.96, 18,492.72 and 3,563.68 is: 5,345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,328.96 : 18,492.72 = 3,563.68 : x
  2. Step 2: Convert to fraction form
    12,328.96/18,492.72 = 3,563.68/x
  3. Step 3: Cross multiply
    12,328.96x = 18,492.72 × 3,563.68
  4. Step 4: Simplify right side
    12,328.96x = 65,902,136.41
  5. Step 5: Solve for x
    x = 65,902,136.41/12,328.96
  6. Step 6: Final answer
    x = 5,345.31

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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.