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Finding the Fourth Proportional to 20,668.14, 31,005.69 and 9,570.30

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Solution

The fourth proportional to 20,668.14, 31,005.69 and 9,570.30 is: 14,357.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,668.14 : 31,005.69 = 9,570.30 : x
  2. Step 2: Convert to fraction form
    20,668.14/31,005.69 = 9,570.30/x
  3. Step 3: Cross multiply
    20,668.14x = 31,005.69 × 9,570.30
  4. Step 4: Simplify right side
    20,668.14x = 296,733,755.01
  5. Step 5: Solve for x
    x = 296,733,755.01/20,668.14
  6. Step 6: Final answer
    x = 14,357.06

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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.