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Finding the Fourth Proportional to 20,176.70, 27,846.00 and 13,801.19

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Solution

The fourth proportional to 20,176.70, 27,846.00 and 13,801.19 is: 19,047.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,176.70 : 27,846.00 = 13,801.19 : x
  2. Step 2: Convert to fraction form
    20,176.70/27,846.00 = 13,801.19/x
  3. Step 3: Cross multiply
    20,176.70x = 27,846.00 × 13,801.19
  4. Step 4: Simplify right side
    20,176.70x = 384,307,867.73
  5. Step 5: Solve for x
    x = 384,307,867.73/20,176.70
  6. Step 6: Final answer
    x = 19,047.11

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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.