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Finding the Fourth Proportional to 25,404.38, 38,109.81 and 7,875.26

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Solution

The fourth proportional to 25,404.38, 38,109.81 and 7,875.26 is: 11,813.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,404.38 : 38,109.81 = 7,875.26 : x
  2. Step 2: Convert to fraction form
    25,404.38/38,109.81 = 7,875.26/x
  3. Step 3: Cross multiply
    25,404.38x = 38,109.81 × 7,875.26
  4. Step 4: Simplify right side
    25,404.38x = 300,124,662.30
  5. Step 5: Solve for x
    x = 300,124,662.30/25,404.38
  6. Step 6: Final answer
    x = 11,813.89

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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.