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Finding the Fourth Proportional to 27,837.90, 38,419.02 and 15,902.19

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Solution

The fourth proportional to 27,837.90, 38,419.02 and 15,902.19 is: 21,946.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,837.90 : 38,419.02 = 15,902.19 : x
  2. Step 2: Convert to fraction form
    27,837.90/38,419.02 = 15,902.19/x
  3. Step 3: Cross multiply
    27,837.90x = 38,419.02 × 15,902.19
  4. Step 4: Simplify right side
    27,837.90x = 610,946,555.65
  5. Step 5: Solve for x
    x = 610,946,555.65/27,837.90
  6. Step 6: Final answer
    x = 21,946.57

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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.