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Finding the Fourth Proportional to 27,380.28, 37,784.76 and 14,805

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Solution

The fourth proportional to 27,380.28, 37,784.76 and 14,805 is: 20,430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,380.28 : 37,784.76 = 14,805 : x
  2. Step 2: Convert to fraction form
    27,380.28/37,784.76 = 14,805/x
  3. Step 3: Cross multiply
    27,380.28x = 37,784.76 × 14,805
  4. Step 4: Simplify right side
    27,380.28x = 559,403,371.80
  5. Step 5: Solve for x
    x = 559,403,371.80/27,380.28
  6. Step 6: Final answer
    x = 20,430.89

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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.