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Finding the Fourth Proportional to 16,882.25, 23,298.48 and 9,714.48

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Solution

The fourth proportional to 16,882.25, 23,298.48 and 9,714.48 is: 13,406.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,882.25 : 23,298.48 = 9,714.48 : x
  2. Step 2: Convert to fraction form
    16,882.25/23,298.48 = 9,714.48/x
  3. Step 3: Cross multiply
    16,882.25x = 23,298.48 × 9,714.48
  4. Step 4: Simplify right side
    16,882.25x = 226,332,617.99
  5. Step 5: Solve for x
    x = 226,332,617.99/16,882.25
  6. Step 6: Final answer
    x = 13,406.55

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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.