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Finding the Fourth Proportional to 17,023.96, 25,483.14 and 9,213.40

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Solution

The fourth proportional to 17,023.96, 25,483.14 and 9,213.40 is: 13,791.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,023.96 : 25,483.14 = 9,213.40 : x
  2. Step 2: Convert to fraction form
    17,023.96/25,483.14 = 9,213.40/x
  3. Step 3: Cross multiply
    17,023.96x = 25,483.14 × 9,213.40
  4. Step 4: Simplify right side
    17,023.96x = 234,786,362.08
  5. Step 5: Solve for x
    x = 234,786,362.08/17,023.96
  6. Step 6: Final answer
    x = 13,791.52

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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.