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Finding the Fourth Proportional to 14,057.20, 21,085.94 and 5,734.99

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Solution

The fourth proportional to 14,057.20, 21,085.94 and 5,734.99 is: 8,602.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,057.20 : 21,085.94 = 5,734.99 : x
  2. Step 2: Convert to fraction form
    14,057.20/21,085.94 = 5,734.99/x
  3. Step 3: Cross multiply
    14,057.20x = 21,085.94 × 5,734.99
  4. Step 4: Simplify right side
    14,057.20x = 120,927,655.04
  5. Step 5: Solve for x
    x = 120,927,655.04/14,057.20
  6. Step 6: Final answer
    x = 8,602.54

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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.