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Finding the Fourth Proportional to 17,563.77, 24,238.89 and 10,397.80

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Solution

The fourth proportional to 17,563.77, 24,238.89 and 10,397.80 is: 14,349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,563.77 : 24,238.89 = 10,397.80 : x
  2. Step 2: Convert to fraction form
    17,563.77/24,238.89 = 10,397.80/x
  3. Step 3: Cross multiply
    17,563.77x = 24,238.89 × 10,397.80
  4. Step 4: Simplify right side
    17,563.77x = 252,031,069.84
  5. Step 5: Solve for x
    x = 252,031,069.84/17,563.77
  6. Step 6: Final answer
    x = 14,349.49

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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.