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Finding the Fourth Proportional to 35,704.65, 53,560.52 and 13,221.33

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Solution

The fourth proportional to 35,704.65, 53,560.52 and 13,221.33 is: 19,833.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,704.65 : 53,560.52 = 13,221.33 : x
  2. Step 2: Convert to fraction form
    35,704.65/53,560.52 = 13,221.33/x
  3. Step 3: Cross multiply
    35,704.65x = 53,560.52 × 13,221.33
  4. Step 4: Simplify right side
    35,704.65x = 708,141,243.78
  5. Step 5: Solve for x
    x = 708,141,243.78/35,704.65
  6. Step 6: Final answer
    x = 19,833.31

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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.