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Finding the Fourth Proportional to 25,149.31, 37,721.01 and 8,509.29

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Solution

The fourth proportional to 25,149.31, 37,721.01 and 8,509.29 is: 12,762.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,149.31 : 37,721.01 = 8,509.29 : x
  2. Step 2: Convert to fraction form
    25,149.31/37,721.01 = 8,509.29/x
  3. Step 3: Cross multiply
    25,149.31x = 37,721.01 × 8,509.29
  4. Step 4: Simplify right side
    25,149.31x = 320,979,045.09
  5. Step 5: Solve for x
    x = 320,979,045.09/25,149.31
  6. Step 6: Final answer
    x = 12,762.94

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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.