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Finding the Fourth Proportional to 24,896.40, 37,355.58 and 13,206.75

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Solution

The fourth proportional to 24,896.40, 37,355.58 and 13,206.75 is: 19,815.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,896.40 : 37,355.58 = 13,206.75 : x
  2. Step 2: Convert to fraction form
    24,896.40/37,355.58 = 13,206.75/x
  3. Step 3: Cross multiply
    24,896.40x = 37,355.58 × 13,206.75
  4. Step 4: Simplify right side
    24,896.40x = 493,345,806.17
  5. Step 5: Solve for x
    x = 493,345,806.17/24,896.40
  6. Step 6: Final answer
    x = 19,815.95

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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.