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Finding the Fourth Proportional to 23,534.43, 35,308.49 and 9,487.21

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Solution

The fourth proportional to 23,534.43, 35,308.49 and 9,487.21 is: 14,233.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,534.43 : 35,308.49 = 9,487.21 : x
  2. Step 2: Convert to fraction form
    23,534.43/35,308.49 = 9,487.21/x
  3. Step 3: Cross multiply
    23,534.43x = 35,308.49 × 9,487.21
  4. Step 4: Simplify right side
    23,534.43x = 334,979,059.41
  5. Step 5: Solve for x
    x = 334,979,059.41/23,534.43
  6. Step 6: Final answer
    x = 14,233.57

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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.