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Finding the Fourth Proportional to 23,534.68, 35,296.64 and 14,049.68

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Solution

The fourth proportional to 23,534.68, 35,296.64 and 14,049.68 is: 21,071.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,534.68 : 35,296.64 = 14,049.68 : x
  2. Step 2: Convert to fraction form
    23,534.68/35,296.64 = 14,049.68/x
  3. Step 3: Cross multiply
    23,534.68x = 35,296.64 × 14,049.68
  4. Step 4: Simplify right side
    23,534.68x = 495,906,497.08
  5. Step 5: Solve for x
    x = 495,906,497.08/23,534.68
  6. Step 6: Final answer
    x = 21,071.31

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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.