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Finding the Fourth Proportional to 18,208.47, 27,312.89 and 5,728.22

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Solution

The fourth proportional to 18,208.47, 27,312.89 and 5,728.22 is: 8,592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,208.47 : 27,312.89 = 5,728.22 : x
  2. Step 2: Convert to fraction form
    18,208.47/27,312.89 = 5,728.22/x
  3. Step 3: Cross multiply
    18,208.47x = 27,312.89 × 5,728.22
  4. Step 4: Simplify right side
    18,208.47x = 156,454,077.55
  5. Step 5: Solve for x
    x = 156,454,077.55/18,208.47
  6. Step 6: Final answer
    x = 8,592.38

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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.