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Finding the Fourth Proportional to 14,696.47, 20,281.08 and 7,982.07

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Solution

The fourth proportional to 14,696.47, 20,281.08 and 7,982.07 is: 11,015.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696.47 : 20,281.08 = 7,982.07 : x
  2. Step 2: Convert to fraction form
    14,696.47/20,281.08 = 7,982.07/x
  3. Step 3: Cross multiply
    14,696.47x = 20,281.08 × 7,982.07
  4. Step 4: Simplify right side
    14,696.47x = 161,885,000.24
  5. Step 5: Solve for x
    x = 161,885,000.24/14,696.47
  6. Step 6: Final answer
    x = 11,015.23

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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.