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Finding the Fourth Proportional to 14,896.50, 20,557.71 and 8,182.76

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Solution

The fourth proportional to 14,896.50, 20,557.71 and 8,182.76 is: 11,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,896.50 : 20,557.71 = 8,182.76 : x
  2. Step 2: Convert to fraction form
    14,896.50/20,557.71 = 8,182.76/x
  3. Step 3: Cross multiply
    14,896.50x = 20,557.71 × 8,182.76
  4. Step 4: Simplify right side
    14,896.50x = 168,218,704.29
  5. Step 5: Solve for x
    x = 168,218,704.29/14,896.50
  6. Step 6: Final answer
    x = 11,292.50

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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.