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Finding the Fourth Proportional to 13,990.92, 19,296 and 10,209.84

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Solution

The fourth proportional to 13,990.92, 19,296 and 10,209.84 is: 14,081.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,990.92 : 19,296 = 10,209.84 : x
  2. Step 2: Convert to fraction form
    13,990.92/19,296 = 10,209.84/x
  3. Step 3: Cross multiply
    13,990.92x = 19,296 × 10,209.84
  4. Step 4: Simplify right side
    13,990.92x = 197,009,072.64
  5. Step 5: Solve for x
    x = 197,009,072.64/13,990.92
  6. Step 6: Final answer
    x = 14,081.21

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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.