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Finding the Fourth Proportional to 13,390.71, 20,083.45 and 9,847.77

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Solution

The fourth proportional to 13,390.71, 20,083.45 and 9,847.77 is: 14,769.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,390.71 : 20,083.45 = 9,847.77 : x
  2. Step 2: Convert to fraction form
    13,390.71/20,083.45 = 9,847.77/x
  3. Step 3: Cross multiply
    13,390.71x = 20,083.45 × 9,847.77
  4. Step 4: Simplify right side
    13,390.71x = 197,777,196.41
  5. Step 5: Solve for x
    x = 197,777,196.41/13,390.71
  6. Step 6: Final answer
    x = 14,769.73

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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.