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Finding the Fourth Proportional to 22,048.76, 30,427.17 and 11,977.13

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Solution

The fourth proportional to 22,048.76, 30,427.17 and 11,977.13 is: 16,528.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,048.76 : 30,427.17 = 11,977.13 : x
  2. Step 2: Convert to fraction form
    22,048.76/30,427.17 = 11,977.13/x
  3. Step 3: Cross multiply
    22,048.76x = 30,427.17 × 11,977.13
  4. Step 4: Simplify right side
    22,048.76x = 364,430,170.62
  5. Step 5: Solve for x
    x = 364,430,170.62/22,048.76
  6. Step 6: Final answer
    x = 16,528.37

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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.