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Finding the Fourth Proportional to 13,047.20, 19,570.80 and 9,072.80

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Solution

The fourth proportional to 13,047.20, 19,570.80 and 9,072.80 is: 13,609.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.20 : 19,570.80 = 9,072.80 : x
  2. Step 2: Convert to fraction form
    13,047.20/19,570.80 = 9,072.80/x
  3. Step 3: Cross multiply
    13,047.20x = 19,570.80 × 9,072.80
  4. Step 4: Simplify right side
    13,047.20x = 177,561,954.24
  5. Step 5: Solve for x
    x = 177,561,954.24/13,047.20
  6. Step 6: Final answer
    x = 13,609.20

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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.