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Finding the Fourth Proportional to 20,990.08, 28,969.46 and 15,946

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Solution

The fourth proportional to 20,990.08, 28,969.46 and 15,946 is: 22,007.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,990.08 : 28,969.46 = 15,946 : x
  2. Step 2: Convert to fraction form
    20,990.08/28,969.46 = 15,946/x
  3. Step 3: Cross multiply
    20,990.08x = 28,969.46 × 15,946
  4. Step 4: Simplify right side
    20,990.08x = 461,947,009.16
  5. Step 5: Solve for x
    x = 461,947,009.16/20,990.08
  6. Step 6: Final answer
    x = 22,007.87

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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.