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Finding the Fourth Proportional to 13,422.70, 18,525.74 and 7,756.67

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Solution

The fourth proportional to 13,422.70, 18,525.74 and 7,756.67 is: 10,705.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.70 : 18,525.74 = 7,756.67 : x
  2. Step 2: Convert to fraction form
    13,422.70/18,525.74 = 7,756.67/x
  3. Step 3: Cross multiply
    13,422.70x = 18,525.74 × 7,756.67
  4. Step 4: Simplify right side
    13,422.70x = 143,697,998.64
  5. Step 5: Solve for x
    x = 143,697,998.64/13,422.70
  6. Step 6: Final answer
    x = 10,705.59

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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.