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Finding the Fourth Proportional to 16,007.82, 22,096.83 and 12,595.98

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Solution

The fourth proportional to 16,007.82, 22,096.83 and 12,595.98 is: 17,387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.82 : 22,096.83 = 12,595.98 : x
  2. Step 2: Convert to fraction form
    16,007.82/22,096.83 = 12,595.98/x
  3. Step 3: Cross multiply
    16,007.82x = 22,096.83 × 12,595.98
  4. Step 4: Simplify right side
    16,007.82x = 278,331,228.74
  5. Step 5: Solve for x
    x = 278,331,228.74/16,007.82
  6. Step 6: Final answer
    x = 17,387.20

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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.