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Finding the Fourth Proportional to 17,520.48, 24,178.86 and 9,563.40

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Solution

The fourth proportional to 17,520.48, 24,178.86 and 9,563.40 is: 13,197.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,520.48 : 24,178.86 = 9,563.40 : x
  2. Step 2: Convert to fraction form
    17,520.48/24,178.86 = 9,563.40/x
  3. Step 3: Cross multiply
    17,520.48x = 24,178.86 × 9,563.40
  4. Step 4: Simplify right side
    17,520.48x = 231,232,109.72
  5. Step 5: Solve for x
    x = 231,232,109.72/17,520.48
  6. Step 6: Final answer
    x = 13,197.82

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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.