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Finding the Fourth Proportional to 20,990.10, 31,462.95 and 6,946.50

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Solution

The fourth proportional to 20,990.10, 31,462.95 and 6,946.50 is: 10,412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,990.10 : 31,462.95 = 6,946.50 : x
  2. Step 2: Convert to fraction form
    20,990.10/31,462.95 = 6,946.50/x
  3. Step 3: Cross multiply
    20,990.10x = 31,462.95 × 6,946.50
  4. Step 4: Simplify right side
    20,990.10x = 218,557,382.18
  5. Step 5: Solve for x
    x = 218,557,382.18/20,990.10
  6. Step 6: Final answer
    x = 10,412.40

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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.