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Finding the Fourth Proportional to 13,990, 20,990.40 and 6,594.16

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Solution

The fourth proportional to 13,990, 20,990.40 and 6,594.16 is: 9,893.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,990 : 20,990.40 = 6,594.16 : x
  2. Step 2: Convert to fraction form
    13,990/20,990.40 = 6,594.16/x
  3. Step 3: Cross multiply
    13,990x = 20,990.40 × 6,594.16
  4. Step 4: Simplify right side
    13,990x = 138,414,056.06
  5. Step 5: Solve for x
    x = 138,414,056.06/13,990
  6. Step 6: Final answer
    x = 9,893.79

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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.