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Finding the Fourth Proportional to 20,208.84, 27,892.50 and 13,581

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Solution

The fourth proportional to 20,208.84, 27,892.50 and 13,581 is: 18,744.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,208.84 : 27,892.50 = 13,581 : x
  2. Step 2: Convert to fraction form
    20,208.84/27,892.50 = 13,581/x
  3. Step 3: Cross multiply
    20,208.84x = 27,892.50 × 13,581
  4. Step 4: Simplify right side
    20,208.84x = 378,808,042.50
  5. Step 5: Solve for x
    x = 378,808,042.50/20,208.84
  6. Step 6: Final answer
    x = 18,744.67

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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.