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Finding the Fourth Proportional to 12,980.38, 19,468.22 and 4,548.14

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Solution

The fourth proportional to 12,980.38, 19,468.22 and 4,548.14 is: 6,821.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.38 : 19,468.22 = 4,548.14 : x
  2. Step 2: Convert to fraction form
    12,980.38/19,468.22 = 4,548.14/x
  3. Step 3: Cross multiply
    12,980.38x = 19,468.22 × 4,548.14
  4. Step 4: Simplify right side
    12,980.38x = 88,544,190.11
  5. Step 5: Solve for x
    x = 88,544,190.11/12,980.38
  6. Step 6: Final answer
    x = 6,821.39

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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.