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Finding the Fourth Proportional to 16,176.65, 22,321.17 and 9,005.31

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Solution

The fourth proportional to 16,176.65, 22,321.17 and 9,005.31 is: 12,425.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,176.65 : 22,321.17 = 9,005.31 : x
  2. Step 2: Convert to fraction form
    16,176.65/22,321.17 = 9,005.31/x
  3. Step 3: Cross multiply
    16,176.65x = 22,321.17 × 9,005.31
  4. Step 4: Simplify right side
    16,176.65x = 201,009,055.41
  5. Step 5: Solve for x
    x = 201,009,055.41/16,176.65
  6. Step 6: Final answer
    x = 12,425.88

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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.