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Finding the Fourth Proportional to 12,085.64, 18,124.11 and 4,186.02

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Solution

The fourth proportional to 12,085.64, 18,124.11 and 4,186.02 is: 6,277.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.64 : 18,124.11 = 4,186.02 : x
  2. Step 2: Convert to fraction form
    12,085.64/18,124.11 = 4,186.02/x
  3. Step 3: Cross multiply
    12,085.64x = 18,124.11 × 4,186.02
  4. Step 4: Simplify right side
    12,085.64x = 75,867,886.94
  5. Step 5: Solve for x
    x = 75,867,886.94/12,085.64
  6. Step 6: Final answer
    x = 6,277.53

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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.