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Finding the Fourth Proportional to 14,464.62, 19,960.74 and 10,211.22

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Solution

The fourth proportional to 14,464.62, 19,960.74 and 10,211.22 is: 14,091.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464.62 : 19,960.74 = 10,211.22 : x
  2. Step 2: Convert to fraction form
    14,464.62/19,960.74 = 10,211.22/x
  3. Step 3: Cross multiply
    14,464.62x = 19,960.74 × 10,211.22
  4. Step 4: Simplify right side
    14,464.62x = 203,823,507.50
  5. Step 5: Solve for x
    x = 203,823,507.50/14,464.62
  6. Step 6: Final answer
    x = 14,091.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.