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Finding the Fourth Proportional to 17,752.24, 24,495.54 and 9,794.80

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Solution

The fourth proportional to 17,752.24, 24,495.54 and 9,794.80 is: 13,515.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,752.24 : 24,495.54 = 9,794.80 : x
  2. Step 2: Convert to fraction form
    17,752.24/24,495.54 = 9,794.80/x
  3. Step 3: Cross multiply
    17,752.24x = 24,495.54 × 9,794.80
  4. Step 4: Simplify right side
    17,752.24x = 239,928,915.19
  5. Step 5: Solve for x
    x = 239,928,915.19/17,752.24
  6. Step 6: Final answer
    x = 13,515.42

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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.