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Finding the Fourth Proportional to 23,434.71, 35,141.12 and 13,576.80

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Solution

The fourth proportional to 23,434.71, 35,141.12 and 13,576.80 is: 20,358.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,434.71 : 35,141.12 = 13,576.80 : x
  2. Step 2: Convert to fraction form
    23,434.71/35,141.12 = 13,576.80/x
  3. Step 3: Cross multiply
    23,434.71x = 35,141.12 × 13,576.80
  4. Step 4: Simplify right side
    23,434.71x = 477,103,958.02
  5. Step 5: Solve for x
    x = 477,103,958.02/23,434.71
  6. Step 6: Final answer
    x = 20,358.86

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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.