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Finding the Fourth Proportional to 19,841.28, 29,758.68 and 7,358.38

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Solution

The fourth proportional to 19,841.28, 29,758.68 and 7,358.38 is: 11,036.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,841.28 : 29,758.68 = 7,358.38 : x
  2. Step 2: Convert to fraction form
    19,841.28/29,758.68 = 7,358.38/x
  3. Step 3: Cross multiply
    19,841.28x = 29,758.68 × 7,358.38
  4. Step 4: Simplify right side
    19,841.28x = 218,975,675.74
  5. Step 5: Solve for x
    x = 218,975,675.74/19,841.28
  6. Step 6: Final answer
    x = 11,036.37

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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.