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Finding the Fourth Proportional to 27,359.26, 37,755.72 and 14,784

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Solution

The fourth proportional to 27,359.26, 37,755.72 and 14,784 is: 20,401.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,359.26 : 37,755.72 = 14,784 : x
  2. Step 2: Convert to fraction form
    27,359.26/37,755.72 = 14,784/x
  3. Step 3: Cross multiply
    27,359.26x = 37,755.72 × 14,784
  4. Step 4: Simplify right side
    27,359.26x = 558,180,564.48
  5. Step 5: Solve for x
    x = 558,180,564.48/27,359.26
  6. Step 6: Final answer
    x = 20,401.89

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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.