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Finding the Fourth Proportional to 27,410.16, 37,824.12 and 16,230

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Solution

The fourth proportional to 27,410.16, 37,824.12 and 16,230 is: 22,396.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,410.16 : 37,824.12 = 16,230 : x
  2. Step 2: Convert to fraction form
    27,410.16/37,824.12 = 16,230/x
  3. Step 3: Cross multiply
    27,410.16x = 37,824.12 × 16,230
  4. Step 4: Simplify right side
    27,410.16x = 613,885,467.60
  5. Step 5: Solve for x
    x = 613,885,467.60/27,410.16
  6. Step 6: Final answer
    x = 22,396.27

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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.