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Finding the Fourth Proportional to 17,835.53, 24,612.93 and 9,769.20

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Solution

The fourth proportional to 17,835.53, 24,612.93 and 9,769.20 is: 13,481.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,835.53 : 24,612.93 = 9,769.20 : x
  2. Step 2: Convert to fraction form
    17,835.53/24,612.93 = 9,769.20/x
  3. Step 3: Cross multiply
    17,835.53x = 24,612.93 × 9,769.20
  4. Step 4: Simplify right side
    17,835.53x = 240,448,635.76
  5. Step 5: Solve for x
    x = 240,448,635.76/17,835.53
  6. Step 6: Final answer
    x = 13,481.44

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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.