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Finding the Fourth Proportional to 17,732.21, 24,470.52 and 9,774.44

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Solution

The fourth proportional to 17,732.21, 24,470.52 and 9,774.44 is: 13,488.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732.21 : 24,470.52 = 9,774.44 : x
  2. Step 2: Convert to fraction form
    17,732.21/24,470.52 = 9,774.44/x
  3. Step 3: Cross multiply
    17,732.21x = 24,470.52 × 9,774.44
  4. Step 4: Simplify right side
    17,732.21x = 239,185,507.16
  5. Step 5: Solve for x
    x = 239,185,507.16/17,732.21
  6. Step 6: Final answer
    x = 13,488.76

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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.