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Finding the Fourth Proportional to 25,579.50, 38,369.28 and 7,111.50

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Solution

The fourth proportional to 25,579.50, 38,369.28 and 7,111.50 is: 10,667.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,579.50 : 38,369.28 = 7,111.50 : x
  2. Step 2: Convert to fraction form
    25,579.50/38,369.28 = 7,111.50/x
  3. Step 3: Cross multiply
    25,579.50x = 38,369.28 × 7,111.50
  4. Step 4: Simplify right side
    25,579.50x = 272,863,134.72
  5. Step 5: Solve for x
    x = 272,863,134.72/25,579.50
  6. Step 6: Final answer
    x = 10,667.26

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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.