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Finding the Fourth Proportional to 13,841.81, 20,717.55 and 10,536.67

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Solution

The fourth proportional to 13,841.81, 20,717.55 and 10,536.67 is: 15,770.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.81 : 20,717.55 = 10,536.67 : x
  2. Step 2: Convert to fraction form
    13,841.81/20,717.55 = 10,536.67/x
  3. Step 3: Cross multiply
    13,841.81x = 20,717.55 × 10,536.67
  4. Step 4: Simplify right side
    13,841.81x = 218,293,935.76
  5. Step 5: Solve for x
    x = 218,293,935.76/13,841.81
  6. Step 6: Final answer
    x = 15,770.63

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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.