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Finding the Fourth Proportional to 24,950.25, 34,431.47 and 13,620

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Solution

The fourth proportional to 24,950.25, 34,431.47 and 13,620 is: 18,795.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,950.25 : 34,431.47 = 13,620 : x
  2. Step 2: Convert to fraction form
    24,950.25/34,431.47 = 13,620/x
  3. Step 3: Cross multiply
    24,950.25x = 34,431.47 × 13,620
  4. Step 4: Simplify right side
    24,950.25x = 468,956,553.30
  5. Step 5: Solve for x
    x = 468,956,553.30/24,950.25
  6. Step 6: Final answer
    x = 18,795.67

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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.