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Finding the Fourth Proportional to 13,107.48, 18,084.22 and 7,441.93

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Solution

The fourth proportional to 13,107.48, 18,084.22 and 7,441.93 is: 10,267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.48 : 18,084.22 = 7,441.93 : x
  2. Step 2: Convert to fraction form
    13,107.48/18,084.22 = 7,441.93/x
  3. Step 3: Cross multiply
    13,107.48x = 18,084.22 × 7,441.93
  4. Step 4: Simplify right side
    13,107.48x = 134,581,499.34
  5. Step 5: Solve for x
    x = 134,581,499.34/13,107.48
  6. Step 6: Final answer
    x = 10,267.53

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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.