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Finding the Fourth Proportional to 13,589.28, 20,402.64 and 7,020

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Solution

The fourth proportional to 13,589.28, 20,402.64 and 7,020 is: 10,539.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,589.28 : 20,402.64 = 7,020 : x
  2. Step 2: Convert to fraction form
    13,589.28/20,402.64 = 7,020/x
  3. Step 3: Cross multiply
    13,589.28x = 20,402.64 × 7,020
  4. Step 4: Simplify right side
    13,589.28x = 143,226,532.80
  5. Step 5: Solve for x
    x = 143,226,532.80/13,589.28
  6. Step 6: Final answer
    x = 10,539.67

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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.