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Finding the Fourth Proportional to 25,813.48, 38,725.94 and 9,174.52

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Solution

The fourth proportional to 25,813.48, 38,725.94 and 9,174.52 is: 13,763.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,813.48 : 38,725.94 = 9,174.52 : x
  2. Step 2: Convert to fraction form
    25,813.48/38,725.94 = 9,174.52/x
  3. Step 3: Cross multiply
    25,813.48x = 38,725.94 × 9,174.52
  4. Step 4: Simplify right side
    25,813.48x = 355,291,911.05
  5. Step 5: Solve for x
    x = 355,291,911.05/25,813.48
  6. Step 6: Final answer
    x = 13,763.81

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