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Finding the Fourth Proportional to 12,374.70, 18,525.60 and 8,219.40

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Solution

The fourth proportional to 12,374.70, 18,525.60 and 8,219.40 is: 12,304.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.70 : 18,525.60 = 8,219.40 : x
  2. Step 2: Convert to fraction form
    12,374.70/18,525.60 = 8,219.40/x
  3. Step 3: Cross multiply
    12,374.70x = 18,525.60 × 8,219.40
  4. Step 4: Simplify right side
    12,374.70x = 152,269,316.64
  5. Step 5: Solve for x
    x = 152,269,316.64/12,374.70
  6. Step 6: Final answer
    x = 12,304.89

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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.