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Finding the Fourth Proportional to 23,524.17, 35,293.17 and 9,476.96

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Solution

The fourth proportional to 23,524.17, 35,293.17 and 9,476.96 is: 14,218.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,524.17 : 35,293.17 = 9,476.96 : x
  2. Step 2: Convert to fraction form
    23,524.17/35,293.17 = 9,476.96/x
  3. Step 3: Cross multiply
    23,524.17x = 35,293.17 × 9,476.96
  4. Step 4: Simplify right side
    23,524.17x = 334,471,960.36
  5. Step 5: Solve for x
    x = 334,471,960.36/23,524.17
  6. Step 6: Final answer
    x = 14,218.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.