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Finding the Fourth Proportional to 16,175.34, 22,321.79 and 9,005.13

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Solution

The fourth proportional to 16,175.34, 22,321.79 and 9,005.13 is: 12,426.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175.34 : 22,321.79 = 9,005.13 : x
  2. Step 2: Convert to fraction form
    16,175.34/22,321.79 = 9,005.13/x
  3. Step 3: Cross multiply
    16,175.34x = 22,321.79 × 9,005.13
  4. Step 4: Simplify right side
    16,175.34x = 201,010,620.78
  5. Step 5: Solve for x
    x = 201,010,620.78/16,175.34
  6. Step 6: Final answer
    x = 12,426.98

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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.