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Finding the Fourth Proportional to 25,571.78, 38,362.90 and 10,780.70

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Solution

The fourth proportional to 25,571.78, 38,362.90 and 10,780.70 is: 16,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,571.78 : 38,362.90 = 10,780.70 : x
  2. Step 2: Convert to fraction form
    25,571.78/38,362.90 = 10,780.70/x
  3. Step 3: Cross multiply
    25,571.78x = 38,362.90 × 10,780.70
  4. Step 4: Simplify right side
    25,571.78x = 413,578,916.03
  5. Step 5: Solve for x
    x = 413,578,916.03/25,571.78
  6. Step 6: Final answer
    x = 16,173.25

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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.