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Finding the Fourth Proportional to 13,429.71, 20,124.05 and 5,634.27

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Solution

The fourth proportional to 13,429.71, 20,124.05 and 5,634.27 is: 8,442.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429.71 : 20,124.05 = 5,634.27 : x
  2. Step 2: Convert to fraction form
    13,429.71/20,124.05 = 5,634.27/x
  3. Step 3: Cross multiply
    13,429.71x = 20,124.05 × 5,634.27
  4. Step 4: Simplify right side
    13,429.71x = 113,384,303.02
  5. Step 5: Solve for x
    x = 113,384,303.02/13,429.71
  6. Step 6: Final answer
    x = 8,442.80

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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.