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Finding the Fourth Proportional to 13,049.62, 19,575.97 and 9,783.48

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Solution

The fourth proportional to 13,049.62, 19,575.97 and 9,783.48 is: 14,676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,049.62 : 19,575.97 = 9,783.48 : x
  2. Step 2: Convert to fraction form
    13,049.62/19,575.97 = 9,783.48/x
  3. Step 3: Cross multiply
    13,049.62x = 19,575.97 × 9,783.48
  4. Step 4: Simplify right side
    13,049.62x = 191,521,049.80
  5. Step 5: Solve for x
    x = 191,521,049.80/13,049.62
  6. Step 6: Final answer
    x = 14,676.37

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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.