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Finding the Fourth Proportional to 13,690.14, 20,525.49 and 6,566.22

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Solution

The fourth proportional to 13,690.14, 20,525.49 and 6,566.22 is: 9,844.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.14 : 20,525.49 = 6,566.22 : x
  2. Step 2: Convert to fraction form
    13,690.14/20,525.49 = 6,566.22/x
  3. Step 3: Cross multiply
    13,690.14x = 20,525.49 × 6,566.22
  4. Step 4: Simplify right side
    13,690.14x = 134,774,882.95
  5. Step 5: Solve for x
    x = 134,774,882.95/13,690.14
  6. Step 6: Final answer
    x = 9,844.67

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