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Finding the Fourth Proportional to 16,856.69, 23,263.16 and 10,144.44

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Solution

The fourth proportional to 16,856.69, 23,263.16 and 10,144.44 is: 13,999.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,856.69 : 23,263.16 = 10,144.44 : x
  2. Step 2: Convert to fraction form
    16,856.69/23,263.16 = 10,144.44/x
  3. Step 3: Cross multiply
    16,856.69x = 23,263.16 × 10,144.44
  4. Step 4: Simplify right side
    16,856.69x = 235,991,680.11
  5. Step 5: Solve for x
    x = 235,991,680.11/16,856.69
  6. Step 6: Final answer
    x = 13,999.89

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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.