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Finding the Fourth Proportional to 12,535.23, 18,804.48 and 4,211.67

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Solution

The fourth proportional to 12,535.23, 18,804.48 and 4,211.67 is: 6,318.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.23 : 18,804.48 = 4,211.67 : x
  2. Step 2: Convert to fraction form
    12,535.23/18,804.48 = 4,211.67/x
  3. Step 3: Cross multiply
    12,535.23x = 18,804.48 × 4,211.67
  4. Step 4: Simplify right side
    12,535.23x = 79,198,264.28
  5. Step 5: Solve for x
    x = 79,198,264.28/12,535.23
  6. Step 6: Final answer
    x = 6,318.05

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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.