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Finding the Fourth Proportional to 15,804.44, 23,655.20 and 11,642.80

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Solution

The fourth proportional to 15,804.44, 23,655.20 and 11,642.80 is: 17,426.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,804.44 : 23,655.20 = 11,642.80 : x
  2. Step 2: Convert to fraction form
    15,804.44/23,655.20 = 11,642.80/x
  3. Step 3: Cross multiply
    15,804.44x = 23,655.20 × 11,642.80
  4. Step 4: Simplify right side
    15,804.44x = 275,412,762.56
  5. Step 5: Solve for x
    x = 275,412,762.56/15,804.44
  6. Step 6: Final answer
    x = 17,426.29

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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.