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Finding the Fourth Proportional to 17,776.94, 24,532.41 and 10,223.42

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Solution

The fourth proportional to 17,776.94, 24,532.41 and 10,223.42 is: 14,108.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,776.94 : 24,532.41 = 10,223.42 : x
  2. Step 2: Convert to fraction form
    17,776.94/24,532.41 = 10,223.42/x
  3. Step 3: Cross multiply
    17,776.94x = 24,532.41 × 10,223.42
  4. Step 4: Simplify right side
    17,776.94x = 250,805,131.04
  5. Step 5: Solve for x
    x = 250,805,131.04/17,776.94
  6. Step 6: Final answer
    x = 14,108.45

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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.