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Finding the Fourth Proportional to 17,546.74, 24,214.52 and 9,480.40

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Solution

The fourth proportional to 17,546.74, 24,214.52 and 9,480.40 is: 13,082.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,546.74 : 24,214.52 = 9,480.40 : x
  2. Step 2: Convert to fraction form
    17,546.74/24,214.52 = 9,480.40/x
  3. Step 3: Cross multiply
    17,546.74x = 24,214.52 × 9,480.40
  4. Step 4: Simplify right side
    17,546.74x = 229,563,288.01
  5. Step 5: Solve for x
    x = 229,563,288.01/17,546.74
  6. Step 6: Final answer
    x = 13,082.96

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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.