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Finding the Fourth Proportional to 20,636.63, 30,950.84 and 10,102.11

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Solution

The fourth proportional to 20,636.63, 30,950.84 and 10,102.11 is: 15,151.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,636.63 : 30,950.84 = 10,102.11 : x
  2. Step 2: Convert to fraction form
    20,636.63/30,950.84 = 10,102.11/x
  3. Step 3: Cross multiply
    20,636.63x = 30,950.84 × 10,102.11
  4. Step 4: Simplify right side
    20,636.63x = 312,668,739.76
  5. Step 5: Solve for x
    x = 312,668,739.76/20,636.63
  6. Step 6: Final answer
    x = 15,151.16

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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.