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Finding the Fourth Proportional to 13,257, 18,295.56 and 7,668

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Solution

The fourth proportional to 13,257, 18,295.56 and 7,668 is: 10,582.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257 : 18,295.56 = 7,668 : x
  2. Step 2: Convert to fraction form
    13,257/18,295.56 = 7,668/x
  3. Step 3: Cross multiply
    13,257x = 18,295.56 × 7,668
  4. Step 4: Simplify right side
    13,257x = 140,290,354.08
  5. Step 5: Solve for x
    x = 140,290,354.08/13,257
  6. Step 6: Final answer
    x = 10,582.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.