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Finding the Fourth Proportional to 14,896.76, 20,540.71 and 10,856.46

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Solution

The fourth proportional to 14,896.76, 20,540.71 and 10,856.46 is: 14,969.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,896.76 : 20,540.71 = 10,856.46 : x
  2. Step 2: Convert to fraction form
    14,896.76/20,540.71 = 10,856.46/x
  3. Step 3: Cross multiply
    14,896.76x = 20,540.71 × 10,856.46
  4. Step 4: Simplify right side
    14,896.76x = 222,999,344.31
  5. Step 5: Solve for x
    x = 222,999,344.31/14,896.76
  6. Step 6: Final answer
    x = 14,969.65

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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.