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Finding the Fourth Proportional to 17,035.44, 23,506.20 and 9,582

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Solution

The fourth proportional to 17,035.44, 23,506.20 and 9,582 is: 13,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,035.44 : 23,506.20 = 9,582 : x
  2. Step 2: Convert to fraction form
    17,035.44/23,506.20 = 9,582/x
  3. Step 3: Cross multiply
    17,035.44x = 23,506.20 × 9,582
  4. Step 4: Simplify right side
    17,035.44x = 225,236,408.40
  5. Step 5: Solve for x
    x = 225,236,408.40/17,035.44
  6. Step 6: Final answer
    x = 13,221.64

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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.