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Finding the Fourth Proportional to 14,826.75, 20,460.93 and 8,539.14

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Solution

The fourth proportional to 14,826.75, 20,460.93 and 8,539.14 is: 11,784.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,826.75 : 20,460.93 = 8,539.14 : x
  2. Step 2: Convert to fraction form
    14,826.75/20,460.93 = 8,539.14/x
  3. Step 3: Cross multiply
    14,826.75x = 20,460.93 × 8,539.14
  4. Step 4: Simplify right side
    14,826.75x = 174,718,745.80
  5. Step 5: Solve for x
    x = 174,718,745.80/14,826.75
  6. Step 6: Final answer
    x = 11,784.02

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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.