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Finding the Fourth Proportional to 12,447.59, 18,674.37 and 3,563.06

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Solution

The fourth proportional to 12,447.59, 18,674.37 and 3,563.06 is: 5,345.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.59 : 18,674.37 = 3,563.06 : x
  2. Step 2: Convert to fraction form
    12,447.59/18,674.37 = 3,563.06/x
  3. Step 3: Cross multiply
    12,447.59x = 18,674.37 × 3,563.06
  4. Step 4: Simplify right side
    12,447.59x = 66,537,807.40
  5. Step 5: Solve for x
    x = 66,537,807.40/12,447.59
  6. Step 6: Final answer
    x = 5,345.44

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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.