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Finding the Fourth Proportional to 25,917.02, 38,874.98 and 7,449.02

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Solution

The fourth proportional to 25,917.02, 38,874.98 and 7,449.02 is: 11,173.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,917.02 : 38,874.98 = 7,449.02 : x
  2. Step 2: Convert to fraction form
    25,917.02/38,874.98 = 7,449.02/x
  3. Step 3: Cross multiply
    25,917.02x = 38,874.98 × 7,449.02
  4. Step 4: Simplify right side
    25,917.02x = 289,580,503.52
  5. Step 5: Solve for x
    x = 289,580,503.52/25,917.02
  6. Step 6: Final answer
    x = 11,173.37

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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.