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Finding the Fourth Proportional to 17,745.28, 24,487.44 and 9,787.60

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Solution

The fourth proportional to 17,745.28, 24,487.44 and 9,787.60 is: 13,506.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,745.28 : 24,487.44 = 9,787.60 : x
  2. Step 2: Convert to fraction form
    17,745.28/24,487.44 = 9,787.60/x
  3. Step 3: Cross multiply
    17,745.28x = 24,487.44 × 9,787.60
  4. Step 4: Simplify right side
    17,745.28x = 239,673,267.74
  5. Step 5: Solve for x
    x = 239,673,267.74/17,745.28
  6. Step 6: Final answer
    x = 13,506.31

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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.