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Finding the Fourth Proportional to 24,804.50, 34,230.21 and 13,626.50

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Solution

The fourth proportional to 24,804.50, 34,230.21 and 13,626.50 is: 18,804.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,804.50 : 34,230.21 = 13,626.50 : x
  2. Step 2: Convert to fraction form
    24,804.50/34,230.21 = 13,626.50/x
  3. Step 3: Cross multiply
    24,804.50x = 34,230.21 × 13,626.50
  4. Step 4: Simplify right side
    24,804.50x = 466,437,956.57
  5. Step 5: Solve for x
    x = 466,437,956.57/24,804.50
  6. Step 6: Final answer
    x = 18,804.57

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Why These Related Problems?

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