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Finding the Fourth Proportional to 12,299.41, 18,438.15 and 4,506.40

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Solution

The fourth proportional to 12,299.41, 18,438.15 and 4,506.40 is: 6,755.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,299.41 : 18,438.15 = 4,506.40 : x
  2. Step 2: Convert to fraction form
    12,299.41/18,438.15 = 4,506.40/x
  3. Step 3: Cross multiply
    12,299.41x = 18,438.15 × 4,506.40
  4. Step 4: Simplify right side
    12,299.41x = 83,089,679.16
  5. Step 5: Solve for x
    x = 83,089,679.16/12,299.41
  6. Step 6: Final answer
    x = 6,755.58

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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.