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Finding the Fourth Proportional to 14,560.65, 20,086.25 and 9,463.32

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Solution

The fourth proportional to 14,560.65, 20,086.25 and 9,463.32 is: 13,054.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,560.65 : 20,086.25 = 9,463.32 : x
  2. Step 2: Convert to fraction form
    14,560.65/20,086.25 = 9,463.32/x
  3. Step 3: Cross multiply
    14,560.65x = 20,086.25 × 9,463.32
  4. Step 4: Simplify right side
    14,560.65x = 190,082,564.03
  5. Step 5: Solve for x
    x = 190,082,564.03/14,560.65
  6. Step 6: Final answer
    x = 13,054.54

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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.