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Finding the Fourth Proportional to 20,638.32, 28,481 and 11,206.96

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Solution

The fourth proportional to 20,638.32, 28,481 and 11,206.96 is: 15,465.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,638.32 : 28,481 = 11,206.96 : x
  2. Step 2: Convert to fraction form
    20,638.32/28,481 = 11,206.96/x
  3. Step 3: Cross multiply
    20,638.32x = 28,481 × 11,206.96
  4. Step 4: Simplify right side
    20,638.32x = 319,185,427.76
  5. Step 5: Solve for x
    x = 319,185,427.76/20,638.32
  6. Step 6: Final answer
    x = 15,465.67

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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.