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Finding the Fourth Proportional to 17,722.58, 24,456.20 and 9,763.25

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Solution

The fourth proportional to 17,722.58, 24,456.20 and 9,763.25 is: 13,472.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,722.58 : 24,456.20 = 9,763.25 : x
  2. Step 2: Convert to fraction form
    17,722.58/24,456.20 = 9,763.25/x
  3. Step 3: Cross multiply
    17,722.58x = 24,456.20 × 9,763.25
  4. Step 4: Simplify right side
    17,722.58x = 238,771,823.55
  5. Step 5: Solve for x
    x = 238,771,823.55/17,722.58
  6. Step 6: Final answer
    x = 13,472.75

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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.