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Finding the Fourth Proportional to 12,870.14, 19,302.82 and 3,983.81

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Solution

The fourth proportional to 12,870.14, 19,302.82 and 3,983.81 is: 5,974.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,870.14 : 19,302.82 = 3,983.81 : x
  2. Step 2: Convert to fraction form
    12,870.14/19,302.82 = 3,983.81/x
  3. Step 3: Cross multiply
    12,870.14x = 19,302.82 × 3,983.81
  4. Step 4: Simplify right side
    12,870.14x = 76,898,861.82
  5. Step 5: Solve for x
    x = 76,898,861.82/12,870.14
  6. Step 6: Final answer
    x = 5,974.98

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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.