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Finding the Fourth Proportional to 22,074.50, 30,462.81 and 12,138.50

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Solution

The fourth proportional to 22,074.50, 30,462.81 and 12,138.50 is: 16,751.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,074.50 : 30,462.81 = 12,138.50 : x
  2. Step 2: Convert to fraction form
    22,074.50/30,462.81 = 12,138.50/x
  3. Step 3: Cross multiply
    22,074.50x = 30,462.81 × 12,138.50
  4. Step 4: Simplify right side
    22,074.50x = 369,772,819.19
  5. Step 5: Solve for x
    x = 369,772,819.19/22,074.50
  6. Step 6: Final answer
    x = 16,751.13

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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.