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Finding the Fourth Proportional to 14,367.96, 21,526.02 and 8,199

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Solution

The fourth proportional to 14,367.96, 21,526.02 and 8,199 is: 12,283.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,367.96 : 21,526.02 = 8,199 : x
  2. Step 2: Convert to fraction form
    14,367.96/21,526.02 = 8,199/x
  3. Step 3: Cross multiply
    14,367.96x = 21,526.02 × 8,199
  4. Step 4: Simplify right side
    14,367.96x = 176,491,837.98
  5. Step 5: Solve for x
    x = 176,491,837.98/14,367.96
  6. Step 6: Final answer
    x = 12,283.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.