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Finding the Fourth Proportional to 12,533.40, 18,821.70 and 12,144.60

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Solution

The fourth proportional to 12,533.40, 18,821.70 and 12,144.60 is: 18,237.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.40 : 18,821.70 = 12,144.60 : x
  2. Step 2: Convert to fraction form
    12,533.40/18,821.70 = 12,144.60/x
  3. Step 3: Cross multiply
    12,533.40x = 18,821.70 × 12,144.60
  4. Step 4: Simplify right side
    12,533.40x = 228,582,017.82
  5. Step 5: Solve for x
    x = 228,582,017.82/12,533.40
  6. Step 6: Final answer
    x = 18,237.83

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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.