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Finding the Fourth Proportional to 14,484.50, 19,988.70 and 8,198.18

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Solution

The fourth proportional to 14,484.50, 19,988.70 and 8,198.18 is: 11,313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,484.50 : 19,988.70 = 8,198.18 : x
  2. Step 2: Convert to fraction form
    14,484.50/19,988.70 = 8,198.18/x
  3. Step 3: Cross multiply
    14,484.50x = 19,988.70 × 8,198.18
  4. Step 4: Simplify right side
    14,484.50x = 163,870,960.57
  5. Step 5: Solve for x
    x = 163,870,960.57/14,484.50
  6. Step 6: Final answer
    x = 11,313.54

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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.