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Finding the Fourth Proportional to 16,406.50, 22,641.52 and 8,954.50

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Solution

The fourth proportional to 16,406.50, 22,641.52 and 8,954.50 is: 12,357.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.50 : 22,641.52 = 8,954.50 : x
  2. Step 2: Convert to fraction form
    16,406.50/22,641.52 = 8,954.50/x
  3. Step 3: Cross multiply
    16,406.50x = 22,641.52 × 8,954.50
  4. Step 4: Simplify right side
    16,406.50x = 202,743,490.84
  5. Step 5: Solve for x
    x = 202,743,490.84/16,406.50
  6. Step 6: Final answer
    x = 12,357.51

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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.