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Finding the Fourth Proportional to 22,048.70, 30,427.56 and 11,977.16

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Solution

The fourth proportional to 22,048.70, 30,427.56 and 11,977.16 is: 16,528.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,048.70 : 30,427.56 = 11,977.16 : x
  2. Step 2: Convert to fraction form
    22,048.70/30,427.56 = 11,977.16/x
  3. Step 3: Cross multiply
    22,048.70x = 30,427.56 × 11,977.16
  4. Step 4: Simplify right side
    22,048.70x = 364,435,602.39
  5. Step 5: Solve for x
    x = 364,435,602.39/22,048.70
  6. Step 6: Final answer
    x = 16,528.67

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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.