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Finding the Fourth Proportional to 12,085.76, 18,128.64 and 7,698.80

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Solution

The fourth proportional to 12,085.76, 18,128.64 and 7,698.80 is: 11,548.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.76 : 18,128.64 = 7,698.80 : x
  2. Step 2: Convert to fraction form
    12,085.76/18,128.64 = 7,698.80/x
  3. Step 3: Cross multiply
    12,085.76x = 18,128.64 × 7,698.80
  4. Step 4: Simplify right side
    12,085.76x = 139,568,773.63
  5. Step 5: Solve for x
    x = 139,568,773.63/12,085.76
  6. Step 6: Final answer
    x = 11,548.20

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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.