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Finding the Fourth Proportional to 13,678.89, 20,482.83 and 11,717.10

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Solution

The fourth proportional to 13,678.89, 20,482.83 and 11,717.10 is: 17,545.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.89 : 20,482.83 = 11,717.10 : x
  2. Step 2: Convert to fraction form
    13,678.89/20,482.83 = 11,717.10/x
  3. Step 3: Cross multiply
    13,678.89x = 20,482.83 × 11,717.10
  4. Step 4: Simplify right side
    13,678.89x = 239,999,367.39
  5. Step 5: Solve for x
    x = 239,999,367.39/13,678.89
  6. Step 6: Final answer
    x = 17,545.24

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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.