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Finding the Fourth Proportional to 16,534.46, 22,817.24 and 9,364.27

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Solution

The fourth proportional to 16,534.46, 22,817.24 and 9,364.27 is: 12,922.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534.46 : 22,817.24 = 9,364.27 : x
  2. Step 2: Convert to fraction form
    16,534.46/22,817.24 = 9,364.27/x
  3. Step 3: Cross multiply
    16,534.46x = 22,817.24 × 9,364.27
  4. Step 4: Simplify right side
    16,534.46x = 213,666,854.81
  5. Step 5: Solve for x
    x = 213,666,854.81/16,534.46
  6. Step 6: Final answer
    x = 12,922.52

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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.