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Finding the Fourth Proportional to 13,182.23, 18,191.22 and 7,213.74

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Solution

The fourth proportional to 13,182.23, 18,191.22 and 7,213.74 is: 9,954.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182.23 : 18,191.22 = 7,213.74 : x
  2. Step 2: Convert to fraction form
    13,182.23/18,191.22 = 7,213.74/x
  3. Step 3: Cross multiply
    13,182.23x = 18,191.22 × 7,213.74
  4. Step 4: Simplify right side
    13,182.23x = 131,226,731.36
  5. Step 5: Solve for x
    x = 131,226,731.36/13,182.23
  6. Step 6: Final answer
    x = 9,954.82

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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.