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Finding the Fourth Proportional to 17,214.24, 25,820.49 and 5,526.54

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Solution

The fourth proportional to 17,214.24, 25,820.49 and 5,526.54 is: 8,289.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,214.24 : 25,820.49 = 5,526.54 : x
  2. Step 2: Convert to fraction form
    17,214.24/25,820.49 = 5,526.54/x
  3. Step 3: Cross multiply
    17,214.24x = 25,820.49 × 5,526.54
  4. Step 4: Simplify right side
    17,214.24x = 142,697,970.80
  5. Step 5: Solve for x
    x = 142,697,970.80/17,214.24
  6. Step 6: Final answer
    x = 8,289.53

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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.