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Finding the Fourth Proportional to 25,203.27, 37,793.96 and 7,669.00

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Solution

The fourth proportional to 25,203.27, 37,793.96 and 7,669.00 is: 11,500.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,203.27 : 37,793.96 = 7,669.00 : x
  2. Step 2: Convert to fraction form
    25,203.27/37,793.96 = 7,669.00/x
  3. Step 3: Cross multiply
    25,203.27x = 37,793.96 × 7,669.00
  4. Step 4: Simplify right side
    25,203.27x = 289,841,651.93
  5. Step 5: Solve for x
    x = 289,841,651.93/25,203.27
  6. Step 6: Final answer
    x = 11,500.16

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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.