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Finding the Fourth Proportional to 13,182.42, 18,191.80 and 7,214.08

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Solution

The fourth proportional to 13,182.42, 18,191.80 and 7,214.08 is: 9,955.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182.42 : 18,191.80 = 7,214.08 : x
  2. Step 2: Convert to fraction form
    13,182.42/18,191.80 = 7,214.08/x
  3. Step 3: Cross multiply
    13,182.42x = 18,191.80 × 7,214.08
  4. Step 4: Simplify right side
    13,182.42x = 131,237,100.54
  5. Step 5: Solve for x
    x = 131,237,100.54/13,182.42
  6. Step 6: Final answer
    x = 9,955.46

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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.