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Finding the Fourth Proportional to 12,056.52, 18,085.40 and 4,159

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Solution

The fourth proportional to 12,056.52, 18,085.40 and 4,159 is: 6,238.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,056.52 : 18,085.40 = 4,159 : x
  2. Step 2: Convert to fraction form
    12,056.52/18,085.40 = 4,159/x
  3. Step 3: Cross multiply
    12,056.52x = 18,085.40 × 4,159
  4. Step 4: Simplify right side
    12,056.52x = 75,217,178.60
  5. Step 5: Solve for x
    x = 75,217,178.60/12,056.52
  6. Step 6: Final answer
    x = 6,238.71

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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.