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Finding the Fourth Proportional to 19,735.65, 27,232.19 and 11,238.12

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Solution

The fourth proportional to 19,735.65, 27,232.19 and 11,238.12 is: 15,506.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,735.65 : 27,232.19 = 11,238.12 : x
  2. Step 2: Convert to fraction form
    19,735.65/27,232.19 = 11,238.12/x
  3. Step 3: Cross multiply
    19,735.65x = 27,232.19 × 11,238.12
  4. Step 4: Simplify right side
    19,735.65x = 306,038,562.89
  5. Step 5: Solve for x
    x = 306,038,562.89/19,735.65
  6. Step 6: Final answer
    x = 15,506.89

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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.