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Finding the Fourth Proportional to 13,527.33, 18,658.32 and 12,411.96

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Solution

The fourth proportional to 13,527.33, 18,658.32 and 12,411.96 is: 17,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.33 : 18,658.32 = 12,411.96 : x
  2. Step 2: Convert to fraction form
    13,527.33/18,658.32 = 12,411.96/x
  3. Step 3: Cross multiply
    13,527.33x = 18,658.32 × 12,411.96
  4. Step 4: Simplify right side
    13,527.33x = 231,586,321.51
  5. Step 5: Solve for x
    x = 231,586,321.51/13,527.33
  6. Step 6: Final answer
    x = 17,119.88

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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.