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Finding the Fourth Proportional to 27,472.96, 37,912.80 and 14,897.80

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Solution

The fourth proportional to 27,472.96, 37,912.80 and 14,897.80 is: 20,559.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,472.96 : 37,912.80 = 14,897.80 : x
  2. Step 2: Convert to fraction form
    27,472.96/37,912.80 = 14,897.80/x
  3. Step 3: Cross multiply
    27,472.96x = 37,912.80 × 14,897.80
  4. Step 4: Simplify right side
    27,472.96x = 564,817,311.84
  5. Step 5: Solve for x
    x = 564,817,311.84/27,472.96
  6. Step 6: Final answer
    x = 20,559.03

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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.