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Finding the Fourth Proportional to 13,775.67, 20,660.74 and 6,752.63

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Solution

The fourth proportional to 13,775.67, 20,660.74 and 6,752.63 is: 10,127.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.67 : 20,660.74 = 6,752.63 : x
  2. Step 2: Convert to fraction form
    13,775.67/20,660.74 = 6,752.63/x
  3. Step 3: Cross multiply
    13,775.67x = 20,660.74 × 6,752.63
  4. Step 4: Simplify right side
    13,775.67x = 139,514,367.52
  5. Step 5: Solve for x
    x = 139,514,367.52/13,775.67
  6. Step 6: Final answer
    x = 10,127.59

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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.