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Finding the Fourth Proportional to 18,588.12, 27,883.62 and 4,737

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Solution

The fourth proportional to 18,588.12, 27,883.62 and 4,737 is: 7,105.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,588.12 : 27,883.62 = 4,737 : x
  2. Step 2: Convert to fraction form
    18,588.12/27,883.62 = 4,737/x
  3. Step 3: Cross multiply
    18,588.12x = 27,883.62 × 4,737
  4. Step 4: Simplify right side
    18,588.12x = 132,084,707.94
  5. Step 5: Solve for x
    x = 132,084,707.94/18,588.12
  6. Step 6: Final answer
    x = 7,105.87

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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.