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Finding the Fourth Proportional to 14,299.27, 21,473.50 and 13,684.17

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Solution

The fourth proportional to 14,299.27, 21,473.50 and 13,684.17 is: 20,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,299.27 : 21,473.50 = 13,684.17 : x
  2. Step 2: Convert to fraction form
    14,299.27/21,473.50 = 13,684.17/x
  3. Step 3: Cross multiply
    14,299.27x = 21,473.50 × 13,684.17
  4. Step 4: Simplify right side
    14,299.27x = 293,847,024.50
  5. Step 5: Solve for x
    x = 293,847,024.50/14,299.27
  6. Step 6: Final answer
    x = 20,549.80

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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.