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Finding the Fourth Proportional to 16,123.76, 22,252.14 and 9,409.82

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Solution

The fourth proportional to 16,123.76, 22,252.14 and 9,409.82 is: 12,986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,123.76 : 22,252.14 = 9,409.82 : x
  2. Step 2: Convert to fraction form
    16,123.76/22,252.14 = 9,409.82/x
  3. Step 3: Cross multiply
    16,123.76x = 22,252.14 × 9,409.82
  4. Step 4: Simplify right side
    16,123.76x = 209,388,584.97
  5. Step 5: Solve for x
    x = 209,388,584.97/16,123.76
  6. Step 6: Final answer
    x = 12,986.34

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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.