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Finding the Fourth Proportional to 20,633.04, 30,949.56 and 8,946

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Solution

The fourth proportional to 20,633.04, 30,949.56 and 8,946 is: 13,419.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,633.04 : 30,949.56 = 8,946 : x
  2. Step 2: Convert to fraction form
    20,633.04/30,949.56 = 8,946/x
  3. Step 3: Cross multiply
    20,633.04x = 30,949.56 × 8,946
  4. Step 4: Simplify right side
    20,633.04x = 276,874,763.76
  5. Step 5: Solve for x
    x = 276,874,763.76/20,633.04
  6. Step 6: Final answer
    x = 13,419.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.