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Finding the Fourth Proportional to 16,178.18, 22,324.16 and 9,104.48

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Solution

The fourth proportional to 16,178.18, 22,324.16 and 9,104.48 is: 12,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.18 : 22,324.16 = 9,104.48 : x
  2. Step 2: Convert to fraction form
    16,178.18/22,324.16 = 9,104.48/x
  3. Step 3: Cross multiply
    16,178.18x = 22,324.16 × 9,104.48
  4. Step 4: Simplify right side
    16,178.18x = 203,249,868.24
  5. Step 5: Solve for x
    x = 203,249,868.24/16,178.18
  6. Step 6: Final answer
    x = 12,563.21

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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.