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Finding the Fourth Proportional to 16,177.01, 22,324.50 and 9,466.57

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Solution

The fourth proportional to 16,177.01, 22,324.50 and 9,466.57 is: 13,063.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,177.01 : 22,324.50 = 9,466.57 : x
  2. Step 2: Convert to fraction form
    16,177.01/22,324.50 = 9,466.57/x
  3. Step 3: Cross multiply
    16,177.01x = 22,324.50 × 9,466.57
  4. Step 4: Simplify right side
    16,177.01x = 211,336,283.01
  5. Step 5: Solve for x
    x = 211,336,283.01/16,177.01
  6. Step 6: Final answer
    x = 13,063.99

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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.