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Finding the Fourth Proportional to 27,381.50, 37,786.40 and 14,806.26

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Solution

The fourth proportional to 27,381.50, 37,786.40 and 14,806.26 is: 20,432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,381.50 : 37,786.40 = 14,806.26 : x
  2. Step 2: Convert to fraction form
    27,381.50/37,786.40 = 14,806.26/x
  3. Step 3: Cross multiply
    27,381.50x = 37,786.40 × 14,806.26
  4. Step 4: Simplify right side
    27,381.50x = 559,475,262.86
  5. Step 5: Solve for x
    x = 559,475,262.86/27,381.50
  6. Step 6: Final answer
    x = 20,432.60

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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.