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Finding the Fourth Proportional to 15,742.99, 21,724.94 and 9,028.18

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Solution

The fourth proportional to 15,742.99, 21,724.94 and 9,028.18 is: 12,458.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,742.99 : 21,724.94 = 9,028.18 : x
  2. Step 2: Convert to fraction form
    15,742.99/21,724.94 = 9,028.18/x
  3. Step 3: Cross multiply
    15,742.99x = 21,724.94 × 9,028.18
  4. Step 4: Simplify right side
    15,742.99x = 196,136,754.62
  5. Step 5: Solve for x
    x = 196,136,754.62/15,742.99
  6. Step 6: Final answer
    x = 12,458.67

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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.