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Finding the Fourth Proportional to 17,612.46, 24,305.29 and 9,546.13

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Solution

The fourth proportional to 17,612.46, 24,305.29 and 9,546.13 is: 13,173.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,612.46 : 24,305.29 = 9,546.13 : x
  2. Step 2: Convert to fraction form
    17,612.46/24,305.29 = 9,546.13/x
  3. Step 3: Cross multiply
    17,612.46x = 24,305.29 × 9,546.13
  4. Step 4: Simplify right side
    17,612.46x = 232,021,373.40
  5. Step 5: Solve for x
    x = 232,021,373.40/17,612.46
  6. Step 6: Final answer
    x = 13,173.71

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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.