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Finding the Fourth Proportional to 20,438.84, 30,636.23 and 9,886.57

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Solution

The fourth proportional to 20,438.84, 30,636.23 and 9,886.57 is: 14,819.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438.84 : 30,636.23 = 9,886.57 : x
  2. Step 2: Convert to fraction form
    20,438.84/30,636.23 = 9,886.57/x
  3. Step 3: Cross multiply
    20,438.84x = 30,636.23 × 9,886.57
  4. Step 4: Simplify right side
    20,438.84x = 302,887,149.49
  5. Step 5: Solve for x
    x = 302,887,149.49/20,438.84
  6. Step 6: Final answer
    x = 14,819.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.