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Finding the Fourth Proportional to 11,828.32, 17,748.64 and 7,667.24

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Solution

The fourth proportional to 11,828.32, 17,748.64 and 7,667.24 is: 11,504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.32 : 17,748.64 = 7,667.24 : x
  2. Step 2: Convert to fraction form
    11,828.32/17,748.64 = 7,667.24/x
  3. Step 3: Cross multiply
    11,828.32x = 17,748.64 × 7,667.24
  4. Step 4: Simplify right side
    11,828.32x = 136,083,082.55
  5. Step 5: Solve for x
    x = 136,083,082.55/11,828.32
  6. Step 6: Final answer
    x = 11,504.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.