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Finding the Fourth Proportional to 14,495.68, 20,004.96 and 8,205.76

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Solution

The fourth proportional to 14,495.68, 20,004.96 and 8,205.76 is: 11,324.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,495.68 : 20,004.96 = 8,205.76 : x
  2. Step 2: Convert to fraction form
    14,495.68/20,004.96 = 8,205.76/x
  3. Step 3: Cross multiply
    14,495.68x = 20,004.96 × 8,205.76
  4. Step 4: Simplify right side
    14,495.68x = 164,155,900.57
  5. Step 5: Solve for x
    x = 164,155,900.57/14,495.68
  6. Step 6: Final answer
    x = 11,324.47

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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.