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Finding the Fourth Proportional to 12,914.46, 19,371.01 and 4,148.69

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Solution

The fourth proportional to 12,914.46, 19,371.01 and 4,148.69 is: 6,222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.46 : 19,371.01 = 4,148.69 : x
  2. Step 2: Convert to fraction form
    12,914.46/19,371.01 = 4,148.69/x
  3. Step 3: Cross multiply
    12,914.46x = 19,371.01 × 4,148.69
  4. Step 4: Simplify right side
    12,914.46x = 80,364,353.53
  5. Step 5: Solve for x
    x = 80,364,353.53/12,914.46
  6. Step 6: Final answer
    x = 6,222.82

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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.