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Finding the Fourth Proportional to 12,187.40, 18,281.10 and 7,262.60

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Solution

The fourth proportional to 12,187.40, 18,281.10 and 7,262.60 is: 10,893.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.40 : 18,281.10 = 7,262.60 : x
  2. Step 2: Convert to fraction form
    12,187.40/18,281.10 = 7,262.60/x
  3. Step 3: Cross multiply
    12,187.40x = 18,281.10 × 7,262.60
  4. Step 4: Simplify right side
    12,187.40x = 132,768,316.86
  5. Step 5: Solve for x
    x = 132,768,316.86/12,187.40
  6. Step 6: Final answer
    x = 10,893.90

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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.