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Finding the Fourth Proportional to 17,520.59, 24,178.50 and 9,563

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Solution

The fourth proportional to 17,520.59, 24,178.50 and 9,563 is: 13,196.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,520.59 : 24,178.50 = 9,563 : x
  2. Step 2: Convert to fraction form
    17,520.59/24,178.50 = 9,563/x
  3. Step 3: Cross multiply
    17,520.59x = 24,178.50 × 9,563
  4. Step 4: Simplify right side
    17,520.59x = 231,218,995.50
  5. Step 5: Solve for x
    x = 231,218,995.50/17,520.59
  6. Step 6: Final answer
    x = 13,196.99

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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.