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Finding the Fourth Proportional to 14,705.92, 20,274.48 and 9,982

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Solution

The fourth proportional to 14,705.92, 20,274.48 and 9,982 is: 13,761.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,705.92 : 20,274.48 = 9,982 : x
  2. Step 2: Convert to fraction form
    14,705.92/20,274.48 = 9,982/x
  3. Step 3: Cross multiply
    14,705.92x = 20,274.48 × 9,982
  4. Step 4: Simplify right side
    14,705.92x = 202,379,859.36
  5. Step 5: Solve for x
    x = 202,379,859.36/14,705.92
  6. Step 6: Final answer
    x = 13,761.80

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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.