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Finding the Fourth Proportional to 15,563.20, 23,344.80 and 7,769.20

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Solution

The fourth proportional to 15,563.20, 23,344.80 and 7,769.20 is: 11,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,563.20 : 23,344.80 = 7,769.20 : x
  2. Step 2: Convert to fraction form
    15,563.20/23,344.80 = 7,769.20/x
  3. Step 3: Cross multiply
    15,563.20x = 23,344.80 × 7,769.20
  4. Step 4: Simplify right side
    15,563.20x = 181,370,420.16
  5. Step 5: Solve for x
    x = 181,370,420.16/15,563.20
  6. Step 6: Final answer
    x = 11,653.80

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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.