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Finding the Fourth Proportional to 14,560.65, 20,087.87 and 9,181.32

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Solution

The fourth proportional to 14,560.65, 20,087.87 and 9,181.32 is: 12,666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,560.65 : 20,087.87 = 9,181.32 : x
  2. Step 2: Convert to fraction form
    14,560.65/20,087.87 = 9,181.32/x
  3. Step 3: Cross multiply
    14,560.65x = 20,087.87 × 9,181.32
  4. Step 4: Simplify right side
    14,560.65x = 184,433,116.68
  5. Step 5: Solve for x
    x = 184,433,116.68/14,560.65
  6. Step 6: Final answer
    x = 12,666.54

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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.