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Finding the Fourth Proportional to 15,147.96, 20,892.32 and 9,844.48

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Solution

The fourth proportional to 15,147.96, 20,892.32 and 9,844.48 is: 13,577.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,147.96 : 20,892.32 = 9,844.48 : x
  2. Step 2: Convert to fraction form
    15,147.96/20,892.32 = 9,844.48/x
  3. Step 3: Cross multiply
    15,147.96x = 20,892.32 × 9,844.48
  4. Step 4: Simplify right side
    15,147.96x = 205,674,026.39
  5. Step 5: Solve for x
    x = 205,674,026.39/15,147.96
  6. Step 6: Final answer
    x = 13,577.67

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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.