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Finding the Fourth Proportional to 12,991.40, 19,497.20 and 5,205.32

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Solution

The fourth proportional to 12,991.40, 19,497.20 and 5,205.32 is: 7,812.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.40 : 19,497.20 = 5,205.32 : x
  2. Step 2: Convert to fraction form
    12,991.40/19,497.20 = 5,205.32/x
  3. Step 3: Cross multiply
    12,991.40x = 19,497.20 × 5,205.32
  4. Step 4: Simplify right side
    12,991.40x = 101,489,165.10
  5. Step 5: Solve for x
    x = 101,489,165.10/12,991.40
  6. Step 6: Final answer
    x = 7,812.03

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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.