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Finding the Fourth Proportional to 19,771.38, 29,668.78 and 7,300.10

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Solution

The fourth proportional to 19,771.38, 29,668.78 and 7,300.10 is: 10,954.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,771.38 : 29,668.78 = 7,300.10 : x
  2. Step 2: Convert to fraction form
    19,771.38/29,668.78 = 7,300.10/x
  3. Step 3: Cross multiply
    19,771.38x = 29,668.78 × 7,300.10
  4. Step 4: Simplify right side
    19,771.38x = 216,585,060.88
  5. Step 5: Solve for x
    x = 216,585,060.88/19,771.38
  6. Step 6: Final answer
    x = 10,954.47

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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.