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Finding the Fourth Proportional to 13,435.57, 18,542.01 and 7,771.34

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Solution

The fourth proportional to 13,435.57, 18,542.01 and 7,771.34 is: 10,724.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,435.57 : 18,542.01 = 7,771.34 : x
  2. Step 2: Convert to fraction form
    13,435.57/18,542.01 = 7,771.34/x
  3. Step 3: Cross multiply
    13,435.57x = 18,542.01 × 7,771.34
  4. Step 4: Simplify right side
    13,435.57x = 144,096,339.49
  5. Step 5: Solve for x
    x = 144,096,339.49/13,435.57
  6. Step 6: Final answer
    x = 10,724.99

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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.