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Finding the Fourth Proportional to 14,821.14, 22,216.95 and 12,196.74

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Solution

The fourth proportional to 14,821.14, 22,216.95 and 12,196.74 is: 18,282.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,821.14 : 22,216.95 = 12,196.74 : x
  2. Step 2: Convert to fraction form
    14,821.14/22,216.95 = 12,196.74/x
  3. Step 3: Cross multiply
    14,821.14x = 22,216.95 × 12,196.74
  4. Step 4: Simplify right side
    14,821.14x = 270,974,362.74
  5. Step 5: Solve for x
    x = 270,974,362.74/14,821.14
  6. Step 6: Final answer
    x = 18,282.96

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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.