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Finding the Fourth Proportional to 12,085.76, 18,134.03 and 5,423.60

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Solution

The fourth proportional to 12,085.76, 18,134.03 and 5,423.60 is: 8,137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.76 : 18,134.03 = 5,423.60 : x
  2. Step 2: Convert to fraction form
    12,085.76/18,134.03 = 5,423.60/x
  3. Step 3: Cross multiply
    12,085.76x = 18,134.03 × 5,423.60
  4. Step 4: Simplify right side
    12,085.76x = 98,351,648.00
  5. Step 5: Solve for x
    x = 98,351,648.00/12,085.76
  6. Step 6: Final answer
    x = 8,137.82

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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.