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Finding the Fourth Proportional to 21,130.34, 31,668.03 and 8,636.09

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Solution

The fourth proportional to 21,130.34, 31,668.03 and 8,636.09 is: 12,942.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,130.34 : 31,668.03 = 8,636.09 : x
  2. Step 2: Convert to fraction form
    21,130.34/31,668.03 = 8,636.09/x
  3. Step 3: Cross multiply
    21,130.34x = 31,668.03 × 8,636.09
  4. Step 4: Simplify right side
    21,130.34x = 273,487,798.86
  5. Step 5: Solve for x
    x = 273,487,798.86/21,130.34
  6. Step 6: Final answer
    x = 12,942.90

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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.