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Finding the Fourth Proportional to 20,082.96, 27,705.16 and 13,011.76

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Solution

The fourth proportional to 20,082.96, 27,705.16 and 13,011.76 is: 17,950.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,082.96 : 27,705.16 = 13,011.76 : x
  2. Step 2: Convert to fraction form
    20,082.96/27,705.16 = 13,011.76/x
  3. Step 3: Cross multiply
    20,082.96x = 27,705.16 × 13,011.76
  4. Step 4: Simplify right side
    20,082.96x = 360,492,892.68
  5. Step 5: Solve for x
    x = 360,492,892.68/20,082.96
  6. Step 6: Final answer
    x = 17,950.19

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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.