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Finding the Fourth Proportional to 12,464.88, 18,697.86 and 3,699.60

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Solution

The fourth proportional to 12,464.88, 18,697.86 and 3,699.60 is: 5,549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.88 : 18,697.86 = 3,699.60 : x
  2. Step 2: Convert to fraction form
    12,464.88/18,697.86 = 3,699.60/x
  3. Step 3: Cross multiply
    12,464.88x = 18,697.86 × 3,699.60
  4. Step 4: Simplify right side
    12,464.88x = 69,174,602.86
  5. Step 5: Solve for x
    x = 69,174,602.86/12,464.88
  6. Step 6: Final answer
    x = 5,549.56

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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.