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Finding the Fourth Proportional to 14,085.16, 21,114.09 and 7,839.46

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Solution

The fourth proportional to 14,085.16, 21,114.09 and 7,839.46 is: 11,751.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,085.16 : 21,114.09 = 7,839.46 : x
  2. Step 2: Convert to fraction form
    14,085.16/21,114.09 = 7,839.46/x
  3. Step 3: Cross multiply
    14,085.16x = 21,114.09 × 7,839.46
  4. Step 4: Simplify right side
    14,085.16x = 165,523,063.99
  5. Step 5: Solve for x
    x = 165,523,063.99/14,085.16
  6. Step 6: Final answer
    x = 11,751.59

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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.