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Finding the Fourth Proportional to 17,204.40, 23,742.33 and 9,652.40

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Solution

The fourth proportional to 17,204.40, 23,742.33 and 9,652.40 is: 13,320.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,204.40 : 23,742.33 = 9,652.40 : x
  2. Step 2: Convert to fraction form
    17,204.40/23,742.33 = 9,652.40/x
  3. Step 3: Cross multiply
    17,204.40x = 23,742.33 × 9,652.40
  4. Step 4: Simplify right side
    17,204.40x = 229,170,466.09
  5. Step 5: Solve for x
    x = 229,170,466.09/17,204.40
  6. Step 6: Final answer
    x = 13,320.46

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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.