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Finding the Fourth Proportional to 20,581.36, 30,865.60 and 7,432

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Solution

The fourth proportional to 20,581.36, 30,865.60 and 7,432 is: 11,145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,581.36 : 30,865.60 = 7,432 : x
  2. Step 2: Convert to fraction form
    20,581.36/30,865.60 = 7,432/x
  3. Step 3: Cross multiply
    20,581.36x = 30,865.60 × 7,432
  4. Step 4: Simplify right side
    20,581.36x = 229,393,139.20
  5. Step 5: Solve for x
    x = 229,393,139.20/20,581.36
  6. Step 6: Final answer
    x = 11,145.67

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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.