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Finding the Fourth Proportional to 16,288.81, 22,475.94 and 9,911.95

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Solution

The fourth proportional to 16,288.81, 22,475.94 and 9,911.95 is: 13,676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,288.81 : 22,475.94 = 9,911.95 : x
  2. Step 2: Convert to fraction form
    16,288.81/22,475.94 = 9,911.95/x
  3. Step 3: Cross multiply
    16,288.81x = 22,475.94 × 9,911.95
  4. Step 4: Simplify right side
    16,288.81x = 222,780,393.48
  5. Step 5: Solve for x
    x = 222,780,393.48/16,288.81
  6. Step 6: Final answer
    x = 13,676.90

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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.