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Finding the Fourth Proportional to 20,082.84, 27,724.59 and 14,699.31

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Solution

The fourth proportional to 20,082.84, 27,724.59 and 14,699.31 is: 20,292.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,082.84 : 27,724.59 = 14,699.31 : x
  2. Step 2: Convert to fraction form
    20,082.84/27,724.59 = 14,699.31/x
  3. Step 3: Cross multiply
    20,082.84x = 27,724.59 × 14,699.31
  4. Step 4: Simplify right side
    20,082.84x = 407,532,343.03
  5. Step 5: Solve for x
    x = 407,532,343.03/20,082.84
  6. Step 6: Final answer
    x = 20,292.57

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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.