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Finding the Fourth Proportional to 12,948, 19,425.24 and 5,548.80

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Solution

The fourth proportional to 12,948, 19,425.24 and 5,548.80 is: 8,324.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,948 : 19,425.24 = 5,548.80 : x
  2. Step 2: Convert to fraction form
    12,948/19,425.24 = 5,548.80/x
  3. Step 3: Cross multiply
    12,948x = 19,425.24 × 5,548.80
  4. Step 4: Simplify right side
    12,948x = 107,786,771.71
  5. Step 5: Solve for x
    x = 107,786,771.71/12,948
  6. Step 6: Final answer
    x = 8,324.59

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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.