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Finding the Fourth Proportional to 14,629.71, 20,197.68 and 9,602.73

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Solution

The fourth proportional to 14,629.71, 20,197.68 and 9,602.73 is: 13,257.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,629.71 : 20,197.68 = 9,602.73 : x
  2. Step 2: Convert to fraction form
    14,629.71/20,197.68 = 9,602.73/x
  3. Step 3: Cross multiply
    14,629.71x = 20,197.68 × 9,602.73
  4. Step 4: Simplify right side
    14,629.71x = 193,952,801.86
  5. Step 5: Solve for x
    x = 193,952,801.86/14,629.71
  6. Step 6: Final answer
    x = 13,257.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.