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Finding the Fourth Proportional to 18,225.72, 27,328.86 and 9,438.84

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Solution

The fourth proportional to 18,225.72, 27,328.86 and 9,438.84 is: 14,153.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,225.72 : 27,328.86 = 9,438.84 : x
  2. Step 2: Convert to fraction form
    18,225.72/27,328.86 = 9,438.84/x
  3. Step 3: Cross multiply
    18,225.72x = 27,328.86 × 9,438.84
  4. Step 4: Simplify right side
    18,225.72x = 257,952,736.92
  5. Step 5: Solve for x
    x = 257,952,736.92/18,225.72
  6. Step 6: Final answer
    x = 14,153.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.