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Finding the Fourth Proportional to 20,208.84, 27,880.65 and 20,177.69

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Solution

The fourth proportional to 20,208.84, 27,880.65 and 20,177.69 is: 27,837.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,208.84 : 27,880.65 = 20,177.69 : x
  2. Step 2: Convert to fraction form
    20,208.84/27,880.65 = 20,177.69/x
  3. Step 3: Cross multiply
    20,208.84x = 27,880.65 × 20,177.69
  4. Step 4: Simplify right side
    20,208.84x = 562,566,973.30
  5. Step 5: Solve for x
    x = 562,566,973.30/20,208.84
  6. Step 6: Final answer
    x = 27,837.67

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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.