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Finding the Fourth Proportional to 24,950.50, 34,431.76 and 13,772.50

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Solution

The fourth proportional to 24,950.50, 34,431.76 and 13,772.50 is: 19,006.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,950.50 : 34,431.76 = 13,772.50 : x
  2. Step 2: Convert to fraction form
    24,950.50/34,431.76 = 13,772.50/x
  3. Step 3: Cross multiply
    24,950.50x = 34,431.76 × 13,772.50
  4. Step 4: Simplify right side
    24,950.50x = 474,211,414.60
  5. Step 5: Solve for x
    x = 474,211,414.60/24,950.50
  6. Step 6: Final answer
    x = 19,006.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.