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Finding the Fourth Proportional to 17,823, 24,595.74 and 10,375.32

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Solution

The fourth proportional to 17,823, 24,595.74 and 10,375.32 is: 14,317.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823 : 24,595.74 = 10,375.32 : x
  2. Step 2: Convert to fraction form
    17,823/24,595.74 = 10,375.32/x
  3. Step 3: Cross multiply
    17,823x = 24,595.74 × 10,375.32
  4. Step 4: Simplify right side
    17,823x = 255,188,673.14
  5. Step 5: Solve for x
    x = 255,188,673.14/17,823
  6. Step 6: Final answer
    x = 14,317.94

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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.