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Finding the Fourth Proportional to 20,668.91, 31,017.14 and 13,278.67

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Solution

The fourth proportional to 20,668.91, 31,017.14 and 13,278.67 is: 19,926.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,668.91 : 31,017.14 = 13,278.67 : x
  2. Step 2: Convert to fraction form
    20,668.91/31,017.14 = 13,278.67/x
  3. Step 3: Cross multiply
    20,668.91x = 31,017.14 × 13,278.67
  4. Step 4: Simplify right side
    20,668.91x = 411,866,322.06
  5. Step 5: Solve for x
    x = 411,866,322.06/20,668.91
  6. Step 6: Final answer
    x = 19,926.86

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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.