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Finding the Fourth Proportional to 12,464.42, 18,699.71 and 3,699.32

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Solution

The fourth proportional to 12,464.42, 18,699.71 and 3,699.32 is: 5,549.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.42 : 18,699.71 = 3,699.32 : x
  2. Step 2: Convert to fraction form
    12,464.42/18,699.71 = 3,699.32/x
  3. Step 3: Cross multiply
    12,464.42x = 18,699.71 × 3,699.32
  4. Step 4: Simplify right side
    12,464.42x = 69,176,099.20
  5. Step 5: Solve for x
    x = 69,176,099.20/12,464.42
  6. Step 6: Final answer
    x = 5,549.89

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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.