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Finding the Fourth Proportional to 23,846.96, 35,753.15 and 13,984.40

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Solution

The fourth proportional to 23,846.96, 35,753.15 and 13,984.40 is: 20,966.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,846.96 : 35,753.15 = 13,984.40 : x
  2. Step 2: Convert to fraction form
    23,846.96/35,753.15 = 13,984.40/x
  3. Step 3: Cross multiply
    23,846.96x = 35,753.15 × 13,984.40
  4. Step 4: Simplify right side
    23,846.96x = 499,986,102.17
  5. Step 5: Solve for x
    x = 499,986,102.17/23,846.96
  6. Step 6: Final answer
    x = 20,966.45

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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.