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Finding the Fourth Proportional to 13,705.75, 20,546.29 and 4,934.50

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Solution

The fourth proportional to 13,705.75, 20,546.29 and 4,934.50 is: 7,397.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.75 : 20,546.29 = 4,934.50 : x
  2. Step 2: Convert to fraction form
    13,705.75/20,546.29 = 4,934.50/x
  3. Step 3: Cross multiply
    13,705.75x = 20,546.29 × 4,934.50
  4. Step 4: Simplify right side
    13,705.75x = 101,385,668.01
  5. Step 5: Solve for x
    x = 101,385,668.01/13,705.75
  6. Step 6: Final answer
    x = 7,397.31

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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.