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Finding the Fourth Proportional to 13,134.56, 19,705.08 and 11,684.66

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Solution

The fourth proportional to 13,134.56, 19,705.08 and 11,684.66 is: 17,529.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,134.56 : 19,705.08 = 11,684.66 : x
  2. Step 2: Convert to fraction form
    13,134.56/19,705.08 = 11,684.66/x
  3. Step 3: Cross multiply
    13,134.56x = 19,705.08 × 11,684.66
  4. Step 4: Simplify right side
    13,134.56x = 230,247,160.07
  5. Step 5: Solve for x
    x = 230,247,160.07/13,134.56
  6. Step 6: Final answer
    x = 17,529.87

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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.