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Finding the Fourth Proportional to 17,509.96, 26,270.26 and 10,497.76

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Solution

The fourth proportional to 17,509.96, 26,270.26 and 10,497.76 is: 15,749.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.96 : 26,270.26 = 10,497.76 : x
  2. Step 2: Convert to fraction form
    17,509.96/26,270.26 = 10,497.76/x
  3. Step 3: Cross multiply
    17,509.96x = 26,270.26 × 10,497.76
  4. Step 4: Simplify right side
    17,509.96x = 275,778,884.62
  5. Step 5: Solve for x
    x = 275,778,884.62/17,509.96
  6. Step 6: Final answer
    x = 15,749.83

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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.