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Finding the Fourth Proportional to 12,011.70, 18,005.40 and 5,442.60

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Solution

The fourth proportional to 12,011.70, 18,005.40 and 5,442.60 is: 8,158.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.70 : 18,005.40 = 5,442.60 : x
  2. Step 2: Convert to fraction form
    12,011.70/18,005.40 = 5,442.60/x
  3. Step 3: Cross multiply
    12,011.70x = 18,005.40 × 5,442.60
  4. Step 4: Simplify right side
    12,011.70x = 97,996,190.04
  5. Step 5: Solve for x
    x = 97,996,190.04/12,011.70
  6. Step 6: Final answer
    x = 8,158.39

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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.