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Finding the Fourth Proportional to 14,706.14, 20,274.59 and 9,982.22

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Solution

The fourth proportional to 14,706.14, 20,274.59 and 9,982.22 is: 13,761.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.14 : 20,274.59 = 9,982.22 : x
  2. Step 2: Convert to fraction form
    14,706.14/20,274.59 = 9,982.22/x
  3. Step 3: Cross multiply
    14,706.14x = 20,274.59 × 9,982.22
  4. Step 4: Simplify right side
    14,706.14x = 202,385,341.37
  5. Step 5: Solve for x
    x = 202,385,341.37/14,706.14
  6. Step 6: Final answer
    x = 13,761.97

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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.