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Finding the Fourth Proportional to 18,529, 25,570.26 and 10,145.32

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Solution

The fourth proportional to 18,529, 25,570.26 and 10,145.32 is: 14,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,529 : 25,570.26 = 10,145.32 : x
  2. Step 2: Convert to fraction form
    18,529/25,570.26 = 10,145.32/x
  3. Step 3: Cross multiply
    18,529x = 25,570.26 × 10,145.32
  4. Step 4: Simplify right side
    18,529x = 259,418,470.18
  5. Step 5: Solve for x
    x = 259,418,470.18/18,529
  6. Step 6: Final answer
    x = 14,000.67

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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.