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Finding the Fourth Proportional to 12,266.54, 18,405.73 and 6,023.17

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Solution

The fourth proportional to 12,266.54, 18,405.73 and 6,023.17 is: 9,037.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.54 : 18,405.73 = 6,023.17 : x
  2. Step 2: Convert to fraction form
    12,266.54/18,405.73 = 6,023.17/x
  3. Step 3: Cross multiply
    12,266.54x = 18,405.73 × 6,023.17
  4. Step 4: Simplify right side
    12,266.54x = 110,860,840.76
  5. Step 5: Solve for x
    x = 110,860,840.76/12,266.54
  6. Step 6: Final answer
    x = 9,037.66

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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.