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Finding the Fourth Proportional to 18,381.16, 27,569.14 and 5,902.27

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Solution

The fourth proportional to 18,381.16, 27,569.14 and 5,902.27 is: 8,852.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,381.16 : 27,569.14 = 5,902.27 : x
  2. Step 2: Convert to fraction form
    18,381.16/27,569.14 = 5,902.27/x
  3. Step 3: Cross multiply
    18,381.16x = 27,569.14 × 5,902.27
  4. Step 4: Simplify right side
    18,381.16x = 162,720,457.47
  5. Step 5: Solve for x
    x = 162,720,457.47/18,381.16
  6. Step 6: Final answer
    x = 8,852.57

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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.