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Finding the Fourth Proportional to 17,504.42, 24,155.34 and 9,546.68

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Solution

The fourth proportional to 17,504.42, 24,155.34 and 9,546.68 is: 13,174.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,504.42 : 24,155.34 = 9,546.68 : x
  2. Step 2: Convert to fraction form
    17,504.42/24,155.34 = 9,546.68/x
  3. Step 3: Cross multiply
    17,504.42x = 24,155.34 × 9,546.68
  4. Step 4: Simplify right side
    17,504.42x = 230,603,301.27
  5. Step 5: Solve for x
    x = 230,603,301.27/17,504.42
  6. Step 6: Final answer
    x = 13,174.00

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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.