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Finding the Fourth Proportional to 27,878.50, 38,477.19 and 15,942.34

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Solution

The fourth proportional to 27,878.50, 38,477.19 and 15,942.34 is: 22,003.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878.50 : 38,477.19 = 15,942.34 : x
  2. Step 2: Convert to fraction form
    27,878.50/38,477.19 = 15,942.34/x
  3. Step 3: Cross multiply
    27,878.50x = 38,477.19 × 15,942.34
  4. Step 4: Simplify right side
    27,878.50x = 613,416,445.22
  5. Step 5: Solve for x
    x = 613,416,445.22/27,878.50
  6. Step 6: Final answer
    x = 22,003.21

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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.