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Finding the Fourth Proportional to 14,191.93, 19,584.62 and 8,224.16

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Solution

The fourth proportional to 14,191.93, 19,584.62 and 8,224.16 is: 11,349.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191.93 : 19,584.62 = 8,224.16 : x
  2. Step 2: Convert to fraction form
    14,191.93/19,584.62 = 8,224.16/x
  3. Step 3: Cross multiply
    14,191.93x = 19,584.62 × 8,224.16
  4. Step 4: Simplify right side
    14,191.93x = 161,066,995.30
  5. Step 5: Solve for x
    x = 161,066,995.30/14,191.93
  6. Step 6: Final answer
    x = 11,349.19

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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.