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Finding the Fourth Proportional to 16,783.34, 23,126.84 and 12,983.42

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Solution

The fourth proportional to 16,783.34, 23,126.84 and 12,983.42 is: 17,890.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,783.34 : 23,126.84 = 12,983.42 : x
  2. Step 2: Convert to fraction form
    16,783.34/23,126.84 = 12,983.42/x
  3. Step 3: Cross multiply
    16,783.34x = 23,126.84 × 12,983.42
  4. Step 4: Simplify right side
    16,783.34x = 300,265,476.99
  5. Step 5: Solve for x
    x = 300,265,476.99/16,783.34
  6. Step 6: Final answer
    x = 17,890.69

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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.