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Finding the Fourth Proportional to 12,085.12, 18,127.74 and 5,506.84

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Solution

The fourth proportional to 12,085.12, 18,127.74 and 5,506.84 is: 8,260.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.12 : 18,127.74 = 5,506.84 : x
  2. Step 2: Convert to fraction form
    12,085.12/18,127.74 = 5,506.84/x
  3. Step 3: Cross multiply
    12,085.12x = 18,127.74 × 5,506.84
  4. Step 4: Simplify right side
    12,085.12x = 99,826,563.74
  5. Step 5: Solve for x
    x = 99,826,563.74/12,085.12
  6. Step 6: Final answer
    x = 8,260.29

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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.