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Finding the Fourth Proportional to 14,675.38, 22,022.33 and 7,668.02

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Solution

The fourth proportional to 14,675.38, 22,022.33 and 7,668.02 is: 11,506.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,675.38 : 22,022.33 = 7,668.02 : x
  2. Step 2: Convert to fraction form
    14,675.38/22,022.33 = 7,668.02/x
  3. Step 3: Cross multiply
    14,675.38x = 22,022.33 × 7,668.02
  4. Step 4: Simplify right side
    14,675.38x = 168,867,602.86
  5. Step 5: Solve for x
    x = 168,867,602.86/14,675.38
  6. Step 6: Final answer
    x = 11,506.87

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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.