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Finding the Fourth Proportional to 27,513, 37,968.75 and 14,938.56

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Solution

The fourth proportional to 27,513, 37,968.75 and 14,938.56 is: 20,615.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,513 : 37,968.75 = 14,938.56 : x
  2. Step 2: Convert to fraction form
    27,513/37,968.75 = 14,938.56/x
  3. Step 3: Cross multiply
    27,513x = 37,968.75 × 14,938.56
  4. Step 4: Simplify right side
    27,513x = 567,198,450
  5. Step 5: Solve for x
    x = 567,198,450/27,513
  6. Step 6: Final answer
    x = 20,615.65

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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.