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Finding the Fourth Proportional to 13,002.88, 19,506.24 and 4,234.96

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Solution

The fourth proportional to 13,002.88, 19,506.24 and 4,234.96 is: 6,353.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.88 : 19,506.24 = 4,234.96 : x
  2. Step 2: Convert to fraction form
    13,002.88/19,506.24 = 4,234.96/x
  3. Step 3: Cross multiply
    13,002.88x = 19,506.24 × 4,234.96
  4. Step 4: Simplify right side
    13,002.88x = 82,608,146.15
  5. Step 5: Solve for x
    x = 82,608,146.15/13,002.88
  6. Step 6: Final answer
    x = 6,353.07

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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.