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Finding the Fourth Proportional to 14,786.10, 20,427.08 and 9,693.71

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Solution

The fourth proportional to 14,786.10, 20,427.08 and 9,693.71 is: 13,391.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,786.10 : 20,427.08 = 9,693.71 : x
  2. Step 2: Convert to fraction form
    14,786.10/20,427.08 = 9,693.71/x
  3. Step 3: Cross multiply
    14,786.10x = 20,427.08 × 9,693.71
  4. Step 4: Simplify right side
    14,786.10x = 198,014,217.80
  5. Step 5: Solve for x
    x = 198,014,217.80/14,786.10
  6. Step 6: Final answer
    x = 13,391.92

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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.