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Finding the Fourth Proportional to 12,454.56, 18,688.32 and 5,527.44

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Solution

The fourth proportional to 12,454.56, 18,688.32 and 5,527.44 is: 8,294.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.56 : 18,688.32 = 5,527.44 : x
  2. Step 2: Convert to fraction form
    12,454.56/18,688.32 = 5,527.44/x
  3. Step 3: Cross multiply
    12,454.56x = 18,688.32 × 5,527.44
  4. Step 4: Simplify right side
    12,454.56x = 103,298,567.50
  5. Step 5: Solve for x
    x = 103,298,567.50/12,454.56
  6. Step 6: Final answer
    x = 8,294.04

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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.