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Finding the Fourth Proportional to 24,800.25, 34,226.64 and 13,624.41

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Solution

The fourth proportional to 24,800.25, 34,226.64 and 13,624.41 is: 18,802.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,800.25 : 34,226.64 = 13,624.41 : x
  2. Step 2: Convert to fraction form
    24,800.25/34,226.64 = 13,624.41/x
  3. Step 3: Cross multiply
    24,800.25x = 34,226.64 × 13,624.41
  4. Step 4: Simplify right side
    24,800.25x = 466,317,776.28
  5. Step 5: Solve for x
    x = 466,317,776.28/24,800.25
  6. Step 6: Final answer
    x = 18,802.95

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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.