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Finding the Fourth Proportional to 18,457, 25,471.02 and 11,005

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Solution

The fourth proportional to 18,457, 25,471.02 and 11,005 is: 15,187.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,457 : 25,471.02 = 11,005 : x
  2. Step 2: Convert to fraction form
    18,457/25,471.02 = 11,005/x
  3. Step 3: Cross multiply
    18,457x = 25,471.02 × 11,005
  4. Step 4: Simplify right side
    18,457x = 280,308,575.10
  5. Step 5: Solve for x
    x = 280,308,575.10/18,457
  6. Step 6: Final answer
    x = 15,187.11

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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.