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Finding the Fourth Proportional to 18,014, 27,025.32 and 5,702

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Solution

The fourth proportional to 18,014, 27,025.32 and 5,702 is: 8,554.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,014 : 27,025.32 = 5,702 : x
  2. Step 2: Convert to fraction form
    18,014/27,025.32 = 5,702/x
  3. Step 3: Cross multiply
    18,014x = 27,025.32 × 5,702
  4. Step 4: Simplify right side
    18,014x = 154,098,374.64
  5. Step 5: Solve for x
    x = 154,098,374.64/18,014
  6. Step 6: Final answer
    x = 8,554.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.