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Finding the Fourth Proportional to 13,149.68, 19,714.80 and 4,825.31

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Solution

The fourth proportional to 13,149.68, 19,714.80 and 4,825.31 is: 7,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149.68 : 19,714.80 = 4,825.31 : x
  2. Step 2: Convert to fraction form
    13,149.68/19,714.80 = 4,825.31/x
  3. Step 3: Cross multiply
    13,149.68x = 19,714.80 × 4,825.31
  4. Step 4: Simplify right side
    13,149.68x = 95,130,021.59
  5. Step 5: Solve for x
    x = 95,130,021.59/13,149.68
  6. Step 6: Final answer
    x = 7,234.40

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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.