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Finding the Fourth Proportional to 12,464.12, 18,690.71 and 4,667.47

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Solution

The fourth proportional to 12,464.12, 18,690.71 and 4,667.47 is: 6,999.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.12 : 18,690.71 = 4,667.47 : x
  2. Step 2: Convert to fraction form
    12,464.12/18,690.71 = 4,667.47/x
  3. Step 3: Cross multiply
    12,464.12x = 18,690.71 × 4,667.47
  4. Step 4: Simplify right side
    12,464.12x = 87,238,258.14
  5. Step 5: Solve for x
    x = 87,238,258.14/12,464.12
  6. Step 6: Final answer
    x = 6,999.15

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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.