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Finding the Fourth Proportional to 27,513.50, 41,270.80 and 9,045.50

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Solution

The fourth proportional to 27,513.50, 41,270.80 and 9,045.50 is: 13,568.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,513.50 : 41,270.80 = 9,045.50 : x
  2. Step 2: Convert to fraction form
    27,513.50/41,270.80 = 9,045.50/x
  3. Step 3: Cross multiply
    27,513.50x = 41,270.80 × 9,045.50
  4. Step 4: Simplify right side
    27,513.50x = 373,315,021.40
  5. Step 5: Solve for x
    x = 373,315,021.40/27,513.50
  6. Step 6: Final answer
    x = 13,568.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.