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Finding the Fourth Proportional to 25,563.74, 38,340.74 and 8,697.51

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Solution

The fourth proportional to 25,563.74, 38,340.74 and 8,697.51 is: 13,044.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,563.74 : 38,340.74 = 8,697.51 : x
  2. Step 2: Convert to fraction form
    25,563.74/38,340.74 = 8,697.51/x
  3. Step 3: Cross multiply
    25,563.74x = 38,340.74 × 8,697.51
  4. Step 4: Simplify right side
    25,563.74x = 333,468,991.30
  5. Step 5: Solve for x
    x = 333,468,991.30/25,563.74
  6. Step 6: Final answer
    x = 13,044.61

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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.