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Finding the Fourth Proportional to 14,534.93, 20,057.94 and 8,161.57

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Solution

The fourth proportional to 14,534.93, 20,057.94 and 8,161.57 is: 11,262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,534.93 : 20,057.94 = 8,161.57 : x
  2. Step 2: Convert to fraction form
    14,534.93/20,057.94 = 8,161.57/x
  3. Step 3: Cross multiply
    14,534.93x = 20,057.94 × 8,161.57
  4. Step 4: Simplify right side
    14,534.93x = 163,704,220.07
  5. Step 5: Solve for x
    x = 163,704,220.07/14,534.93
  6. Step 6: Final answer
    x = 11,262.82

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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.