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Finding the Fourth Proportional to 15,635.20, 21,572.96 and 9,258.56

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Solution

The fourth proportional to 15,635.20, 21,572.96 and 9,258.56 is: 12,774.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,635.20 : 21,572.96 = 9,258.56 : x
  2. Step 2: Convert to fraction form
    15,635.20/21,572.96 = 9,258.56/x
  3. Step 3: Cross multiply
    15,635.20x = 21,572.96 × 9,258.56
  4. Step 4: Simplify right side
    15,635.20x = 199,734,544.54
  5. Step 5: Solve for x
    x = 199,734,544.54/15,635.20
  6. Step 6: Final answer
    x = 12,774.67

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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.