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Finding the Fourth Proportional to 13,689.32, 20,530.86 and 6,286.67

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Solution

The fourth proportional to 13,689.32, 20,530.86 and 6,286.67 is: 9,428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.32 : 20,530.86 = 6,286.67 : x
  2. Step 2: Convert to fraction form
    13,689.32/20,530.86 = 6,286.67/x
  3. Step 3: Cross multiply
    13,689.32x = 20,530.86 × 6,286.67
  4. Step 4: Simplify right side
    13,689.32x = 129,070,638.98
  5. Step 5: Solve for x
    x = 129,070,638.98/13,689.32
  6. Step 6: Final answer
    x = 9,428.57

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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.