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Finding the Fourth Proportional to 13,102.32, 19,644.84 and 4,339.20

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Solution

The fourth proportional to 13,102.32, 19,644.84 and 4,339.20 is: 6,505.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.32 : 19,644.84 = 4,339.20 : x
  2. Step 2: Convert to fraction form
    13,102.32/19,644.84 = 4,339.20/x
  3. Step 3: Cross multiply
    13,102.32x = 19,644.84 × 4,339.20
  4. Step 4: Simplify right side
    13,102.32x = 85,242,889.73
  5. Step 5: Solve for x
    x = 85,242,889.73/13,102.32
  6. Step 6: Final answer
    x = 6,505.94

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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.