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Finding the Fourth Proportional to 27,381.84, 37,786.95 and 14,806.59

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Solution

The fourth proportional to 27,381.84, 37,786.95 and 14,806.59 is: 20,433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,381.84 : 37,786.95 = 14,806.59 : x
  2. Step 2: Convert to fraction form
    27,381.84/37,786.95 = 14,806.59/x
  3. Step 3: Cross multiply
    27,381.84x = 37,786.95 × 14,806.59
  4. Step 4: Simplify right side
    27,381.84x = 559,495,876.00
  5. Step 5: Solve for x
    x = 559,495,876.00/27,381.84
  6. Step 6: Final answer
    x = 20,433.10

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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.