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Finding the Fourth Proportional to 16,623.16, 22,939.82 and 9,171

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Solution

The fourth proportional to 16,623.16, 22,939.82 and 9,171 is: 12,655.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,623.16 : 22,939.82 = 9,171 : x
  2. Step 2: Convert to fraction form
    16,623.16/22,939.82 = 9,171/x
  3. Step 3: Cross multiply
    16,623.16x = 22,939.82 × 9,171
  4. Step 4: Simplify right side
    16,623.16x = 210,381,089.22
  5. Step 5: Solve for x
    x = 210,381,089.22/16,623.16
  6. Step 6: Final answer
    x = 12,655.90

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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.