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Finding the Fourth Proportional to 14,513.82, 21,770.49 and 4,652.94

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Solution

The fourth proportional to 14,513.82, 21,770.49 and 4,652.94 is: 6,979.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,513.82 : 21,770.49 = 4,652.94 : x
  2. Step 2: Convert to fraction form
    14,513.82/21,770.49 = 4,652.94/x
  3. Step 3: Cross multiply
    14,513.82x = 21,770.49 × 4,652.94
  4. Step 4: Simplify right side
    14,513.82x = 101,296,783.74
  5. Step 5: Solve for x
    x = 101,296,783.74/14,513.82
  6. Step 6: Final answer
    x = 6,979.33

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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.