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Finding the Fourth Proportional to 13,113.76, 18,097.42 and 7,145.68

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Solution

The fourth proportional to 13,113.76, 18,097.42 and 7,145.68 is: 9,861.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,113.76 : 18,097.42 = 7,145.68 : x
  2. Step 2: Convert to fraction form
    13,113.76/18,097.42 = 7,145.68/x
  3. Step 3: Cross multiply
    13,113.76x = 18,097.42 × 7,145.68
  4. Step 4: Simplify right side
    13,113.76x = 129,318,372.15
  5. Step 5: Solve for x
    x = 129,318,372.15/13,113.76
  6. Step 6: Final answer
    x = 9,861.27

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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.