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Finding the Fourth Proportional to 27,513.75, 37,969.02 and 14,938.50

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Solution

The fourth proportional to 27,513.75, 37,969.02 and 14,938.50 is: 20,615.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,513.75 : 37,969.02 = 14,938.50 : x
  2. Step 2: Convert to fraction form
    27,513.75/37,969.02 = 14,938.50/x
  3. Step 3: Cross multiply
    27,513.75x = 37,969.02 × 14,938.50
  4. Step 4: Simplify right side
    27,513.75x = 567,200,205.27
  5. Step 5: Solve for x
    x = 567,200,205.27/27,513.75
  6. Step 6: Final answer
    x = 20,615.15

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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.