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Finding the Fourth Proportional to 19,147.44, 28,709.64 and 7,302

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Solution

The fourth proportional to 19,147.44, 28,709.64 and 7,302 is: 10,948.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,147.44 : 28,709.64 = 7,302 : x
  2. Step 2: Convert to fraction form
    19,147.44/28,709.64 = 7,302/x
  3. Step 3: Cross multiply
    19,147.44x = 28,709.64 × 7,302
  4. Step 4: Simplify right side
    19,147.44x = 209,637,791.28
  5. Step 5: Solve for x
    x = 209,637,791.28/19,147.44
  6. Step 6: Final answer
    x = 10,948.61

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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.