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Finding the Fourth Proportional to 17,934.97, 24,750.23 and 9,977.03

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Solution

The fourth proportional to 17,934.97, 24,750.23 and 9,977.03 is: 13,768.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,934.97 : 24,750.23 = 9,977.03 : x
  2. Step 2: Convert to fraction form
    17,934.97/24,750.23 = 9,977.03/x
  3. Step 3: Cross multiply
    17,934.97x = 24,750.23 × 9,977.03
  4. Step 4: Simplify right side
    17,934.97x = 246,933,688.41
  5. Step 5: Solve for x
    x = 246,933,688.41/17,934.97
  6. Step 6: Final answer
    x = 13,768.28

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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.