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Finding the Fourth Proportional to 16,454.94, 22,707.36 and 9,381.12

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Solution

The fourth proportional to 16,454.94, 22,707.36 and 9,381.12 is: 12,945.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454.94 : 22,707.36 = 9,381.12 : x
  2. Step 2: Convert to fraction form
    16,454.94/22,707.36 = 9,381.12/x
  3. Step 3: Cross multiply
    16,454.94x = 22,707.36 × 9,381.12
  4. Step 4: Simplify right side
    16,454.94x = 213,020,469.04
  5. Step 5: Solve for x
    x = 213,020,469.04/16,454.94
  6. Step 6: Final answer
    x = 12,945.68

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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.