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Finding the Fourth Proportional to 17,732.25, 24,470.24 and 9,774.27

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Solution

The fourth proportional to 17,732.25, 24,470.24 and 9,774.27 is: 13,488.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732.25 : 24,470.24 = 9,774.27 : x
  2. Step 2: Convert to fraction form
    17,732.25/24,470.24 = 9,774.27/x
  3. Step 3: Cross multiply
    17,732.25x = 24,470.24 × 9,774.27
  4. Step 4: Simplify right side
    17,732.25x = 239,178,683.85
  5. Step 5: Solve for x
    x = 239,178,683.85/17,732.25
  6. Step 6: Final answer
    x = 13,488.34

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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.