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Finding the Fourth Proportional to 17,509.60, 24,171.42 and 11,225.56

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Solution

The fourth proportional to 17,509.60, 24,171.42 and 11,225.56 is: 15,496.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.60 : 24,171.42 = 11,225.56 : x
  2. Step 2: Convert to fraction form
    17,509.60/24,171.42 = 11,225.56/x
  3. Step 3: Cross multiply
    17,509.60x = 24,171.42 × 11,225.56
  4. Step 4: Simplify right side
    17,509.60x = 271,337,725.50
  5. Step 5: Solve for x
    x = 271,337,725.50/17,509.60
  6. Step 6: Final answer
    x = 15,496.51

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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.