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Finding the Fourth Proportional to 14,191.83, 19,581.75 and 8,223.15

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Solution

The fourth proportional to 14,191.83, 19,581.75 and 8,223.15 is: 11,346.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191.83 : 19,581.75 = 8,223.15 : x
  2. Step 2: Convert to fraction form
    14,191.83/19,581.75 = 8,223.15/x
  3. Step 3: Cross multiply
    14,191.83x = 19,581.75 × 8,223.15
  4. Step 4: Simplify right side
    14,191.83x = 161,023,667.51
  5. Step 5: Solve for x
    x = 161,023,667.51/14,191.83
  6. Step 6: Final answer
    x = 11,346.22

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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.