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Finding the Fourth Proportional to 12,464.64, 18,705.06 and 11,463.48

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Solution

The fourth proportional to 12,464.64, 18,705.06 and 11,463.48 is: 17,202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.64 : 18,705.06 = 11,463.48 : x
  2. Step 2: Convert to fraction form
    12,464.64/18,705.06 = 11,463.48/x
  3. Step 3: Cross multiply
    12,464.64x = 18,705.06 × 11,463.48
  4. Step 4: Simplify right side
    12,464.64x = 214,425,081.21
  5. Step 5: Solve for x
    x = 214,425,081.21/12,464.64
  6. Step 6: Final answer
    x = 17,202.67

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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.