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Finding the Fourth Proportional to 27,197.38, 40,810.02 and 13,346.38

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Solution

The fourth proportional to 27,197.38, 40,810.02 and 13,346.38 is: 20,026.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,197.38 : 40,810.02 = 13,346.38 : x
  2. Step 2: Convert to fraction form
    27,197.38/40,810.02 = 13,346.38/x
  3. Step 3: Cross multiply
    27,197.38x = 40,810.02 × 13,346.38
  4. Step 4: Simplify right side
    27,197.38x = 544,666,034.73
  5. Step 5: Solve for x
    x = 544,666,034.73/27,197.38
  6. Step 6: Final answer
    x = 20,026.42

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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.