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Finding the Fourth Proportional to 16,177.71, 22,321.80 and 9,462.03

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Solution

The fourth proportional to 16,177.71, 22,321.80 and 9,462.03 is: 13,055.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,177.71 : 22,321.80 = 9,462.03 : x
  2. Step 2: Convert to fraction form
    16,177.71/22,321.80 = 9,462.03/x
  3. Step 3: Cross multiply
    16,177.71x = 22,321.80 × 9,462.03
  4. Step 4: Simplify right side
    16,177.71x = 211,209,481.66
  5. Step 5: Solve for x
    x = 211,209,481.66/16,177.71
  6. Step 6: Final answer
    x = 13,055.58

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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.