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Finding the Fourth Proportional to 14,861.40, 22,286.02 and 6,428.38

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Solution

The fourth proportional to 14,861.40, 22,286.02 and 6,428.38 is: 9,639.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,861.40 : 22,286.02 = 6,428.38 : x
  2. Step 2: Convert to fraction form
    14,861.40/22,286.02 = 6,428.38/x
  3. Step 3: Cross multiply
    14,861.40x = 22,286.02 × 6,428.38
  4. Step 4: Simplify right side
    14,861.40x = 143,263,005.25
  5. Step 5: Solve for x
    x = 143,263,005.25/14,861.40
  6. Step 6: Final answer
    x = 9,639.94

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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.