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Finding the Fourth Proportional to 15,934, 23,907.84 and 8,536.36

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Solution

The fourth proportional to 15,934, 23,907.84 and 8,536.36 is: 12,808.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,934 : 23,907.84 = 8,536.36 : x
  2. Step 2: Convert to fraction form
    15,934/23,907.84 = 8,536.36/x
  3. Step 3: Cross multiply
    15,934x = 23,907.84 × 8,536.36
  4. Step 4: Simplify right side
    15,934x = 204,085,929.06
  5. Step 5: Solve for x
    x = 204,085,929.06/15,934
  6. Step 6: Final answer
    x = 12,808.20

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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.