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Finding the Fourth Proportional to 28,469.80, 42,704.67 and 7,693.30

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Solution

The fourth proportional to 28,469.80, 42,704.67 and 7,693.30 is: 11,539.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,469.80 : 42,704.67 = 7,693.30 : x
  2. Step 2: Convert to fraction form
    28,469.80/42,704.67 = 7,693.30/x
  3. Step 3: Cross multiply
    28,469.80x = 42,704.67 × 7,693.30
  4. Step 4: Simplify right side
    28,469.80x = 328,539,837.71
  5. Step 5: Solve for x
    x = 328,539,837.71/28,469.80
  6. Step 6: Final answer
    x = 11,539.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.