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Finding the Fourth Proportional to 13,001.64, 19,504.49 and 4,234.52

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Solution

The fourth proportional to 13,001.64, 19,504.49 and 4,234.52 is: 6,352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001.64 : 19,504.49 = 4,234.52 : x
  2. Step 2: Convert to fraction form
    13,001.64/19,504.49 = 4,234.52/x
  3. Step 3: Cross multiply
    13,001.64x = 19,504.49 × 4,234.52
  4. Step 4: Simplify right side
    13,001.64x = 82,592,034.30
  5. Step 5: Solve for x
    x = 82,592,034.30/13,001.64
  6. Step 6: Final answer
    x = 6,352.43

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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.