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Finding the Fourth Proportional to 14,504.85, 21,761.10 and 6,185.34

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Solution

The fourth proportional to 14,504.85, 21,761.10 and 6,185.34 is: 9,279.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,504.85 : 21,761.10 = 6,185.34 : x
  2. Step 2: Convert to fraction form
    14,504.85/21,761.10 = 6,185.34/x
  3. Step 3: Cross multiply
    14,504.85x = 21,761.10 × 6,185.34
  4. Step 4: Simplify right side
    14,504.85x = 134,599,802.27
  5. Step 5: Solve for x
    x = 134,599,802.27/14,504.85
  6. Step 6: Final answer
    x = 9,279.64

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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.