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Finding the Fourth Proportional to 13,632.68, 18,813.27 and 7,664.00

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Solution

The fourth proportional to 13,632.68, 18,813.27 and 7,664.00 is: 10,576.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,632.68 : 18,813.27 = 7,664.00 : x
  2. Step 2: Convert to fraction form
    13,632.68/18,813.27 = 7,664.00/x
  3. Step 3: Cross multiply
    13,632.68x = 18,813.27 × 7,664.00
  4. Step 4: Simplify right side
    13,632.68x = 144,184,807.21
  5. Step 5: Solve for x
    x = 144,184,807.21/13,632.68
  6. Step 6: Final answer
    x = 10,576.41

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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.