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Finding the Fourth Proportional to 14,271.84, 19,694.07 and 7,983

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Solution

The fourth proportional to 14,271.84, 19,694.07 and 7,983 is: 11,015.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271.84 : 19,694.07 = 7,983 : x
  2. Step 2: Convert to fraction form
    14,271.84/19,694.07 = 7,983/x
  3. Step 3: Cross multiply
    14,271.84x = 19,694.07 × 7,983
  4. Step 4: Simplify right side
    14,271.84x = 157,217,760.81
  5. Step 5: Solve for x
    x = 157,217,760.81/14,271.84
  6. Step 6: Final answer
    x = 11,015.94

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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.