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Finding the Fourth Proportional to 13,632.12, 18,814.23 and 7,664.16

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Solution

The fourth proportional to 13,632.12, 18,814.23 and 7,664.16 is: 10,577.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,632.12 : 18,814.23 = 7,664.16 : x
  2. Step 2: Convert to fraction form
    13,632.12/18,814.23 = 7,664.16/x
  3. Step 3: Cross multiply
    13,632.12x = 18,814.23 × 7,664.16
  4. Step 4: Simplify right side
    13,632.12x = 144,195,269.00
  5. Step 5: Solve for x
    x = 144,195,269.00/13,632.12
  6. Step 6: Final answer
    x = 10,577.61

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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.