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Finding the Fourth Proportional to 13,675.17, 20,503.02 and 7,013.67

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Solution

The fourth proportional to 13,675.17, 20,503.02 and 7,013.67 is: 10,515.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.17 : 20,503.02 = 7,013.67 : x
  2. Step 2: Convert to fraction form
    13,675.17/20,503.02 = 7,013.67/x
  3. Step 3: Cross multiply
    13,675.17x = 20,503.02 × 7,013.67
  4. Step 4: Simplify right side
    13,675.17x = 143,801,416.28
  5. Step 5: Solve for x
    x = 143,801,416.28/13,675.17
  6. Step 6: Final answer
    x = 10,515.51

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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.