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Finding the Fourth Proportional to 16,096.98, 22,212.58 and 9,022.02

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Solution

The fourth proportional to 16,096.98, 22,212.58 and 9,022.02 is: 12,449.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096.98 : 22,212.58 = 9,022.02 : x
  2. Step 2: Convert to fraction form
    16,096.98/22,212.58 = 9,022.02/x
  3. Step 3: Cross multiply
    16,096.98x = 22,212.58 × 9,022.02
  4. Step 4: Simplify right side
    16,096.98x = 200,402,341.01
  5. Step 5: Solve for x
    x = 200,402,341.01/16,096.98
  6. Step 6: Final answer
    x = 12,449.69

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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.