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Finding the Fourth Proportional to 17,524, 24,183.66 and 10,072

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Solution

The fourth proportional to 17,524, 24,183.66 and 10,072 is: 13,899.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,524 : 24,183.66 = 10,072 : x
  2. Step 2: Convert to fraction form
    17,524/24,183.66 = 10,072/x
  3. Step 3: Cross multiply
    17,524x = 24,183.66 × 10,072
  4. Step 4: Simplify right side
    17,524x = 243,577,823.52
  5. Step 5: Solve for x
    x = 243,577,823.52/17,524
  6. Step 6: Final answer
    x = 13,899.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.