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Finding the Fourth Proportional to 12,996.54, 19,491.12 and 5,597.16

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Solution

The fourth proportional to 12,996.54, 19,491.12 and 5,597.16 is: 8,394.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,996.54 : 19,491.12 = 5,597.16 : x
  2. Step 2: Convert to fraction form
    12,996.54/19,491.12 = 5,597.16/x
  3. Step 3: Cross multiply
    12,996.54x = 19,491.12 × 5,597.16
  4. Step 4: Simplify right side
    12,996.54x = 109,094,917.22
  5. Step 5: Solve for x
    x = 109,094,917.22/12,996.54
  6. Step 6: Final answer
    x = 8,394.15

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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.