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Finding the Fourth Proportional to 30,114.08, 41,554.12 and 16,682

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Solution

The fourth proportional to 30,114.08, 41,554.12 and 16,682 is: 23,019.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,114.08 : 41,554.12 = 16,682 : x
  2. Step 2: Convert to fraction form
    30,114.08/41,554.12 = 16,682/x
  3. Step 3: Cross multiply
    30,114.08x = 41,554.12 × 16,682
  4. Step 4: Simplify right side
    30,114.08x = 693,205,829.84
  5. Step 5: Solve for x
    x = 693,205,829.84/30,114.08
  6. Step 6: Final answer
    x = 23,019.33

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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.