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Finding the Fourth Proportional to 13,503.65, 18,635.06 and 7,535.67

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Solution

The fourth proportional to 13,503.65, 18,635.06 and 7,535.67 is: 10,399.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.65 : 18,635.06 = 7,535.67 : x
  2. Step 2: Convert to fraction form
    13,503.65/18,635.06 = 7,535.67/x
  3. Step 3: Cross multiply
    13,503.65x = 18,635.06 × 7,535.67
  4. Step 4: Simplify right side
    13,503.65x = 140,427,611.55
  5. Step 5: Solve for x
    x = 140,427,611.55/13,503.65
  6. Step 6: Final answer
    x = 10,399.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.