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Finding the Fourth Proportional to 25,977.38, 38,972.54 and 7,509.38

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Solution

The fourth proportional to 25,977.38, 38,972.54 and 7,509.38 is: 11,265.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,977.38 : 38,972.54 = 7,509.38 : x
  2. Step 2: Convert to fraction form
    25,977.38/38,972.54 = 7,509.38/x
  3. Step 3: Cross multiply
    25,977.38x = 38,972.54 × 7,509.38
  4. Step 4: Simplify right side
    25,977.38x = 292,659,436.34
  5. Step 5: Solve for x
    x = 292,659,436.34/25,977.38
  6. Step 6: Final answer
    x = 11,265.94

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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.