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Finding the Fourth Proportional to 14,143.40, 19,476.42 and 12,960.68

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Solution

The fourth proportional to 14,143.40, 19,476.42 and 12,960.68 is: 17,847.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143.40 : 19,476.42 = 12,960.68 : x
  2. Step 2: Convert to fraction form
    14,143.40/19,476.42 = 12,960.68/x
  3. Step 3: Cross multiply
    14,143.40x = 19,476.42 × 12,960.68
  4. Step 4: Simplify right side
    14,143.40x = 252,427,647.17
  5. Step 5: Solve for x
    x = 252,427,647.17/14,143.40
  6. Step 6: Final answer
    x = 17,847.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.