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Finding the Fourth Proportional to 13,833, 19,082.96 and 9,358.32

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Solution

The fourth proportional to 13,833, 19,082.96 and 9,358.32 is: 12,910.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833 : 19,082.96 = 9,358.32 : x
  2. Step 2: Convert to fraction form
    13,833/19,082.96 = 9,358.32/x
  3. Step 3: Cross multiply
    13,833x = 19,082.96 × 9,358.32
  4. Step 4: Simplify right side
    13,833x = 178,584,446.23
  5. Step 5: Solve for x
    x = 178,584,446.23/13,833
  6. Step 6: Final answer
    x = 12,910.03

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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.