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Finding the Fourth Proportional to 17,749.08, 24,494.94 and 10,297.08

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Solution

The fourth proportional to 17,749.08, 24,494.94 and 10,297.08 is: 14,210.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,749.08 : 24,494.94 = 10,297.08 : x
  2. Step 2: Convert to fraction form
    17,749.08/24,494.94 = 10,297.08/x
  3. Step 3: Cross multiply
    17,749.08x = 24,494.94 × 10,297.08
  4. Step 4: Simplify right side
    17,749.08x = 252,226,356.78
  5. Step 5: Solve for x
    x = 252,226,356.78/17,749.08
  6. Step 6: Final answer
    x = 14,210.67

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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.