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Finding the Fourth Proportional to 12,447.99, 18,671.36 and 4,656.20

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Solution

The fourth proportional to 12,447.99, 18,671.36 and 4,656.20 is: 6,984.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.99 : 18,671.36 = 4,656.20 : x
  2. Step 2: Convert to fraction form
    12,447.99/18,671.36 = 4,656.20/x
  3. Step 3: Cross multiply
    12,447.99x = 18,671.36 × 4,656.20
  4. Step 4: Simplify right side
    12,447.99x = 86,937,469.79
  5. Step 5: Solve for x
    x = 86,937,469.79/12,447.99
  6. Step 6: Final answer
    x = 6,984.06

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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.