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Finding the Fourth Proportional to 16,457, 22,710.82 and 9,005

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Solution

The fourth proportional to 16,457, 22,710.82 and 9,005 is: 12,426.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,457 : 22,710.82 = 9,005 : x
  2. Step 2: Convert to fraction form
    16,457/22,710.82 = 9,005/x
  3. Step 3: Cross multiply
    16,457x = 22,710.82 × 9,005
  4. Step 4: Simplify right side
    16,457x = 204,510,934.10
  5. Step 5: Solve for x
    x = 204,510,934.10/16,457
  6. Step 6: Final answer
    x = 12,426.99

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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.