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Finding the Fourth Proportional to 14,391.68, 21,583.87 and 5,626.67

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Solution

The fourth proportional to 14,391.68, 21,583.87 and 5,626.67 is: 8,438.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,391.68 : 21,583.87 = 5,626.67 : x
  2. Step 2: Convert to fraction form
    14,391.68/21,583.87 = 5,626.67/x
  3. Step 3: Cross multiply
    14,391.68x = 21,583.87 × 5,626.67
  4. Step 4: Simplify right side
    14,391.68x = 121,445,191.83
  5. Step 5: Solve for x
    x = 121,445,191.83/14,391.68
  6. Step 6: Final answer
    x = 8,438.57

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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.