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Finding the Fourth Proportional to 26,146.81, 36,082.87 and 14,210.14

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Solution

The fourth proportional to 26,146.81, 36,082.87 and 14,210.14 is: 19,610.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,146.81 : 36,082.87 = 14,210.14 : x
  2. Step 2: Convert to fraction form
    26,146.81/36,082.87 = 14,210.14/x
  3. Step 3: Cross multiply
    26,146.81x = 36,082.87 × 14,210.14
  4. Step 4: Simplify right side
    26,146.81x = 512,742,634.30
  5. Step 5: Solve for x
    x = 512,742,634.30/26,146.81
  6. Step 6: Final answer
    x = 19,610.14

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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.