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Finding the Fourth Proportional to 20,047.84, 27,635.32 and 15,004.44

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Solution

The fourth proportional to 20,047.84, 27,635.32 and 15,004.44 is: 20,683.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047.84 : 27,635.32 = 15,004.44 : x
  2. Step 2: Convert to fraction form
    20,047.84/27,635.32 = 15,004.44/x
  3. Step 3: Cross multiply
    20,047.84x = 27,635.32 × 15,004.44
  4. Step 4: Simplify right side
    20,047.84x = 414,652,500.82
  5. Step 5: Solve for x
    x = 414,652,500.82/20,047.84
  6. Step 6: Final answer
    x = 20,683.15

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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.