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Finding the Fourth Proportional to 26,605.70, 36,715.72 and 14,669

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Solution

The fourth proportional to 26,605.70, 36,715.72 and 14,669 is: 20,243.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,605.70 : 36,715.72 = 14,669 : x
  2. Step 2: Convert to fraction form
    26,605.70/36,715.72 = 14,669/x
  3. Step 3: Cross multiply
    26,605.70x = 36,715.72 × 14,669
  4. Step 4: Simplify right side
    26,605.70x = 538,582,896.68
  5. Step 5: Solve for x
    x = 538,582,896.68/26,605.70
  6. Step 6: Final answer
    x = 20,243.14

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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.