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Finding the Fourth Proportional to 27,846.34, 38,410.93 and 16,508.24

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Solution

The fourth proportional to 27,846.34, 38,410.93 and 16,508.24 is: 22,771.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,846.34 : 38,410.93 = 16,508.24 : x
  2. Step 2: Convert to fraction form
    27,846.34/38,410.93 = 16,508.24/x
  3. Step 3: Cross multiply
    27,846.34x = 38,410.93 × 16,508.24
  4. Step 4: Simplify right side
    27,846.34x = 634,096,851.06
  5. Step 5: Solve for x
    x = 634,096,851.06/27,846.34
  6. Step 6: Final answer
    x = 22,771.28

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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.