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Finding the Fourth Proportional to 13,632.42, 18,811.89 and 7,664.01

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Solution

The fourth proportional to 13,632.42, 18,811.89 and 7,664.01 is: 10,575.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,632.42 : 18,811.89 = 7,664.01 : x
  2. Step 2: Convert to fraction form
    13,632.42/18,811.89 = 7,664.01/x
  3. Step 3: Cross multiply
    13,632.42x = 18,811.89 × 7,664.01
  4. Step 4: Simplify right side
    13,632.42x = 144,174,513.08
  5. Step 5: Solve for x
    x = 144,174,513.08/13,632.42
  6. Step 6: Final answer
    x = 10,575.86

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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.