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Finding the Fourth Proportional to 13,184.46, 18,194.01 and 7,215.75

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Solution

The fourth proportional to 13,184.46, 18,194.01 and 7,215.75 is: 9,957.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.46 : 18,194.01 = 7,215.75 : x
  2. Step 2: Convert to fraction form
    13,184.46/18,194.01 = 7,215.75/x
  3. Step 3: Cross multiply
    13,184.46x = 18,194.01 × 7,215.75
  4. Step 4: Simplify right side
    13,184.46x = 131,283,427.66
  5. Step 5: Solve for x
    x = 131,283,427.66/13,184.46
  6. Step 6: Final answer
    x = 9,957.44

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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.