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Finding the Fourth Proportional to 13,049.24, 19,548.67 and 7,788.45

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Solution

The fourth proportional to 13,049.24, 19,548.67 and 7,788.45 is: 11,667.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,049.24 : 19,548.67 = 7,788.45 : x
  2. Step 2: Convert to fraction form
    13,049.24/19,548.67 = 7,788.45/x
  3. Step 3: Cross multiply
    13,049.24x = 19,548.67 × 7,788.45
  4. Step 4: Simplify right side
    13,049.24x = 152,253,838.86
  5. Step 5: Solve for x
    x = 152,253,838.86/13,049.24
  6. Step 6: Final answer
    x = 11,667.64

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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.